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Title:

Behr Wolfgang : Reimende Bronzeinschriften und die Entstehung der chinesischen Endreimdichtung

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PERSEE

Year of Publication:

1997

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compterendu

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Title:

Regularization of gauge theory on noncommutative

Description:

In gauge theory on noncommutative spacetime with constant commutator, the infinities of commutative gauge theory persist and new infinities (the famous IR/UV-mixing) show up. To deal with these, a consistent way to regularize noncommutative QFT is needed. For the regularization we will use a matrix model whose ground state is the product of two ...

In gauge theory on noncommutative spacetime with constant commutator, the infinities of commutative gauge theory persist and new infinities (the famous IR/UV-mixing) show up. To deal with these, a consistent way to regularize noncommutative QFT is needed. For the regularization we will use a matrix model whose ground state is the product of two fuzzy spheeres, the fluctuations around this ground state producing the gauge theory. This gauge theory is completely well defined and finite. In a double scaling limit we will blow up the fuzzy spheres at their north poles, mapping the gauge theory on the spheres to the gauge theory on noncommutative R 4, and thereby providing it with the desired reularization. Further we were able to match certain sectors of the instanton solutions of the regularized theory with known fluxon-solutions on noncommuative R 4. The talk is based on joint work with Frank Meyer and Harold Steinacker [1]. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-05-08

Source:

http://pos.sissa.it/archive/conferences/021/158/HEP2005_158.pdf

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Document Type:

text

Language:

en

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Title:

Noncommutative Gauge Theory beyond the Canonical Case

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Canonically deformed spacetime, where the commutator of two coordinates is a constant, is the most commonly studied noncommutative space. Noncommutative gauge theories that have ordinary gauge theory as their commutative limit have been constructed there. But these theories have their drawbacks: First of all, constant noncommutativity can only b...

Canonically deformed spacetime, where the commutator of two coordinates is a constant, is the most commonly studied noncommutative space. Noncommutative gauge theories that have ordinary gauge theory as their commutative limit have been constructed there. But these theories have their drawbacks: First of all, constant noncommutativity can only be an approximation of a realistic theory, and therefore it is necessary to study more complicated space-dependent structures as well. Secondly, in the canonical case, the noncommutativity didn't fulfill the initial hope of curing the divergencies of quantum field theory. Therefore it is very desirable to understand noncommutative spaces that really admit finite QFTs. These two aspects of going beyond the canonical case will be the main focus of this thesis. They will be addressed within two different formalisms, each of which is especially suited for the purpose. In the first part noncommutative spaces created by ⋆-products are studied. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-23

Source:

http://edoc.ub.uni-muenchen.de/4425/1/Behr_Wolfgang.pdf

http://edoc.ub.uni-muenchen.de/4425/1/Behr_Wolfgang.pdf Minimize

Document Type:

text

Language:

en

DDC:

539 Modern physics *(computed)*

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Title:

Gauge Theory on Fuzzy S2 × S2 and

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We define U(n) gauge theory on fuzzy S 2 N × S2 N as a multi-matrix model, which reduces to ordinary Yang-Mills theory on S 2 ×S 2 in the commutative limit N → ∞. The model can be used as a regularization of gauge theory on noncommutative R 4 θ in a particular scaling limit, which is studied in detail. We also find topologically non-trivial U(1)...

We define U(n) gauge theory on fuzzy S 2 N × S2 N as a multi-matrix model, which reduces to ordinary Yang-Mills theory on S 2 ×S 2 in the commutative limit N → ∞. The model can be used as a regularization of gauge theory on noncommutative R 4 θ in a particular scaling limit, which is studied in detail. We also find topologically non-trivial U(1) solutions, which reduce to the known “fluxon ” solutions in the limit, reproducing their full moduli space. Other solutions which can be interpreted of R4 θ as 2-dimensional branes are also found. The quantization of the model is defined non-perturbatively in terms of a path integral which is finite. A gauge-fixed BRSTinvariant action is given as well. Fermions in the fundamental representation of the gauge group are included using a formulation based on SO(6), by defining a fuzzy Dirac operator which reduces to the standard Dirac operator on S2 × S2 in the Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-28

Source:

http://arxiv.org/pdf/hep-th/0503041v2.pdf

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Document Type:

text

Language:

en

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Gauge Theory on Fuzzy S2 × S2 and

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Description:

We define U(n) gauge theory on fuzzy S 2 N × S2 N as a multi-matrix model, which reduces to ordinary Yang-Mills theory on S 2 ×S 2 in the commutative limit N → ∞. The model can be used as a regularization of gauge theory on noncommutative R 4 θ in a particular scaling limit, which is studied in detail. We also find topologically non-trivial U(1)...

We define U(n) gauge theory on fuzzy S 2 N × S2 N as a multi-matrix model, which reduces to ordinary Yang-Mills theory on S 2 ×S 2 in the commutative limit N → ∞. The model can be used as a regularization of gauge theory on noncommutative R 4 θ in a particular scaling limit, which is studied in detail. We also find topologically non-trivial U(1) solutions, which reduce to the known “fluxon ” solutions in the limit, reproducing their full moduli space. Other solutions which can be interpreted of R4 θ as 2-dimensional branes are also found. The quantization of the model is defined non-perturbatively in terms of a path integral which is finite. A gauge-fixed BRSTinvariant action is given as well. Fermions in the fundamental representation of the gauge group are included using a formulation based on SO(6), by defining a fuzzy Dirac operator which reduces to the standard Dirac operator on S2 × S2 in the Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-28

Source:

http://arxiv.org/pdf/hep-th/0503041v3.pdf

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Document Type:

text

Language:

en

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Title:

Gauge Theory on Fuzzy S2 × S2 and

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Description:

We define U(n) gauge theory on fuzzy S 2 N × S2 N as a multi-matrix model, which reduces to ordinary Yang-Mills theory on S 2 ×S 2 in the commutative limit N → ∞. The model can be used as a regularization of gauge theory on noncommutative R 4 θ in a particular scaling limit, which is studied in detail. We also find topologically non-trivial U(1)...

We define U(n) gauge theory on fuzzy S 2 N × S2 N as a multi-matrix model, which reduces to ordinary Yang-Mills theory on S 2 ×S 2 in the commutative limit N → ∞. The model can be used as a regularization of gauge theory on noncommutative R 4 θ in a particular scaling limit, which is studied in detail. We also find topologically non-trivial U(1) solutions, which reduce to the known “fluxon ” solutions in the limit, reproducing their full moduli space. Other solutions which can be interpreted of R4 θ as 2-dimensional branes are also found. The quantization of the model is defined non-perturbatively in terms of a path integral which is finite. A gauge-fixed BRSTinvariant action is given as well. Fermions in the fundamental representation of the gauge group are included using a formulation based on SO(6), by defining a fuzzy Dirac operator which reduces to the standard Dirac operator on S2 × S2 in the Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-28

Source:

http://arxiv.org/pdf/hep-th/0503041v4.pdf

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text

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en

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Title:

Gauge Theory on Fuzzy S2 × S2 and

Author:

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-28

Source:

http://arxiv.org/pdf/hep-th/0503041v1.pdf

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Document Type:

text

Language:

en

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Title:

Organisationales Lernen aus strukturationstheoretischer Perspektive

Description:

Das Besondere an der Strukturationstheorie liegt in ihrer Anknüpfung an verschiedene grundlegende Theorietraditionen der Sozialwissenschaften und dem Versuch, diese vermittelnd zu integrieren. Da auch die Diskussion um organisationales Lernen durch diese Traditionen zum Teil geprägt ist und sich viele ihrer blinden Flecken und ungelösten theoret...

Das Besondere an der Strukturationstheorie liegt in ihrer Anknüpfung an verschiedene grundlegende Theorietraditionen der Sozialwissenschaften und dem Versuch, diese vermittelnd zu integrieren. Da auch die Diskussion um organisationales Lernen durch diese Traditionen zum Teil geprägt ist und sich viele ihrer blinden Flecken und ungelösten theoretischen Probleme darauf zurückführen lassen, erscheint mir die Strukturationstheorie als vielversprechender Ansatz, der darauf eine konstruktive Antwort geben kann. In der vorliegenden Arbeit soll der Ansatz von Giddens die sozialtheoretische Basis bieten für eine Diskussion organisationalen Lernens (OL), die zwar an die vorhandene Literatur zu diesem Thema zum Teil anknüpft, sie aber um eine eigene, integrative und sozialtheoretisch fundierte Sichtweise ergänzt. Ausgegangen werden soll dabei zum einen von dem skizzierten Modernitätsverständnis, welches Reflexivität und Lernen zu einem Grundprinzip des sozialen Lebens erklärt und zum anderen von folgenden kritischen Anmerkungen zur OL-Diskussion, die auf einer überblicksartigen Einschätzung des OL-Diskussionsfeldes beruhen und nicht auf einer systematischen Aufarbeitung einzelner Arbeiten. Sie beschreiben aktuelle, primär theoretische Problemfelder, für deren 'Lösung' die Strukturationstheorie hilfreiche Konzepte anbietet. ; This paper discusses organizational learning from the viewpoint of Anthony Giddens' theory of structuration. It makes reference to the current discussion of organizational learning and employs the theory of structuration, which is increasingly used in organization and management theory (see for example the special issue on 'action, structure and organizations' in Organization Studies 1997, 18/1). For this reasons, the paper accomplishes two things simultaneously: it gives theoretical based answers to some pre-eminent criticisms on organizational learning and it applies an approach which is still rather uncommon in its substance. Therefore, an illuminating and innovative perspective is added to the field of organizational learning and change. Minimize

Year of Publication:

1997

Document Type:

doc-type:masterThesis ; doc-type:Text

Language:

deu

Subjects:

Strukturationstheorie ; Strukturierungsdimension ; Modernitätstheorie ; Globalisierung ; Lernprozeß ; ddc:320 ; Organisation ; Lernen ; Unsicherheit

Strukturationstheorie ; Strukturierungsdimension ; Modernitätstheorie ; Globalisierung ; Lernprozeß ; ddc:320 ; Organisation ; Lernen ; Unsicherheit Minimize

DDC:

370 Education *(computed)*

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Title:

Noncommutative Gauge Theory beyond the Canonical Case

Description:

In this thesis noncommutative gauge theory is extended beyond the canonical case, i.e. to structures where the commutator no longer is a constant. In the first part noncommutative spaces created by star-products are studied. We are able to identify differential operators that still have an undeformed Leibniz rule and can therefore be gauged much...

In this thesis noncommutative gauge theory is extended beyond the canonical case, i.e. to structures where the commutator no longer is a constant. In the first part noncommutative spaces created by star-products are studied. We are able to identify differential operators that still have an undeformed Leibniz rule and can therefore be gauged much in the same way as in the canonical case. By linking these derivations to frames (vielbeins) of a curved manifold, it is possible to formulate noncommutative gauge theories that admit nonconstant noncommutativity and go to gauge theory on curved spacetime in the commutative limit. We are also able to express the dependence of the noncommutative quantities on their corresponding commutative counterparts by using Seiberg-Witten maps. In the second part we study noncommutative gauge theory in the matrix theory approach. There, the noncommutative space is a finite dimensional matrix algebra (fuzzy space) which emerges as the ground state of a matrix action, the fluctuations around this ground state creating the gauge theory. This gauge theory is finite, goes to gauge theory on a 4-dimensional manifold in the commutative limit and can also be used to regularize the noncommutative gauge theory of the canonical case. In particular, we are able to match parts of the known instanton sector of the canonical case with the instantons of the finite theory. ; Comment: 156 pages, PhD-Thesis, Supervisor: Prof. Dr. Julius Wess, v2: references added Minimize

Year of Publication:

2005-11-10

Document Type:

text

Subjects:

High Energy Physics - Theory

High Energy Physics - Theory Minimize

DDC:

539 Modern physics *(computed)*

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Title:

Construction of Gauge Theories on Curved Noncommutative Spacetime

Description:

We present a method where derivations of star-product algebras are used to build covariant derivatives for noncommutative gauge theory. We write down a noncommutative action by linking these derivations to a frame field induced by a nonconstant metric. An example is given where the action reduces in the classical limit to scalar electrodynamics ...

We present a method where derivations of star-product algebras are used to build covariant derivatives for noncommutative gauge theory. We write down a noncommutative action by linking these derivations to a frame field induced by a nonconstant metric. An example is given where the action reduces in the classical limit to scalar electrodynamics on a curved background. We further use the Seiberg-Witten map to extend the formalism to arbitrary gauge groups. A proof of the existence of the Seiberg-Witten-map for an abelian gauge potential is given for the formality star-product. We also give explicit formulas for the Weyl ordered star-product and its Seiberg-Witten-maps up to second order. ; Comment: 35 pages, v2: references added, v3: PACS added, v4: final version, changes in the order of presentation Minimize

Year of Publication:

2003-09-15

Document Type:

text

Subjects:

High Energy Physics - Theory

High Energy Physics - Theory Minimize

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