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Title:

A Symmetry Invariant Integral on κ-Deformed Spacetime

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In this note we present an approach using both constructive and Hopf algebraic methods to contribute to the not yet fully satisfactory definition of an integral on κ-deformed spacetime. The integral presented here is based on the inner product of differential forms and it is shown that this integral is explicitly invariant under the deformed sym...

In this note we present an approach using both constructive and Hopf algebraic methods to contribute to the not yet fully satisfactory definition of an integral on κ-deformed spacetime. The integral presented here is based on the inner product of differential forms and it is shown that this integral is explicitly invariant under the deformed symmetry structure. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-30

Source:

http://arxiv.org/pdf/hep-th/0409128v2.pdf

http://arxiv.org/pdf/hep-th/0409128v2.pdf Minimize

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text

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en

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Second order expansion of action functionals of noncommutative gauge theories

Second order expansion of action functionals of noncommutative gauge theories Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-30

Source:

http://arxiv.org/pdf/hep-th/0409085v2.pdf

http://arxiv.org/pdf/hep-th/0409085v2.pdf Minimize

Document Type:

text

Language:

en

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Title:

A symmetry invariant integral on κ-deformed spacetime,” hep-th/0409128

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In this note we present an approach using both constructive and Hopf algebraic methods to contribute to the not yet fully satisfactory definition of an integral on κ-deformed spacetime. The integral presented here is based on the inner product of differential forms and it is shown that this integral is explicitly invariant under the deformed sym...

In this note we present an approach using both constructive and Hopf algebraic methods to contribute to the not yet fully satisfactory definition of an integral on κ-deformed spacetime. The integral presented here is based on the inner product of differential forms and it is shown that this integral is explicitly invariant under the deformed symmetry structure. Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-30

Source:

http://arxiv.org/pdf/hep-th/0409128v1.pdf

http://arxiv.org/pdf/hep-th/0409128v1.pdf Minimize

Document Type:

text

Language:

en

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

Metadata may be used without restrictions as long as the oai identifier remains attached to it. Minimize

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Title:

U(1) gauge field theory on κ-Minkowski space

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This study of U(1) gauge field theory on the kappa-deformed Minkowski spacetime extends previous work on gauge field theories on this type of noncommutative spacetime. We discuss in detail the properties of the Seiberg-Witten map and the resulting effective action for U(1) gauge theory with fermionic matter expanded in ordinary fields. We constr...

This study of U(1) gauge field theory on the kappa-deformed Minkowski spacetime extends previous work on gauge field theories on this type of noncommutative spacetime. We discuss in detail the properties of the Seiberg-Witten map and the resulting effective action for U(1) gauge theory with fermionic matter expanded in ordinary fields. We construct the conserved gauge current, fix part of the ambiguities in the Seiberg-Witten map and obtain an effective U(1) action invariant under the action of the undeformed Poincaré group. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-31

Source:

http://arxiv.org/pdf/hep-th/0504129v1.pdf

http://arxiv.org/pdf/hep-th/0504129v1.pdf Minimize

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text

Language:

en

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Title:

Second order of the expansions of action functionals of the noncommutative standard model

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Field theory and gauge theory on noncommutative spaces have been established as their own areas of research in recent years. The hope prevails that a noncommutative gauge theory will deliver testable experimental predictions and will thus be a serious candidate for an extension of the Standard Model. This note contains the results for expanded g...

Field theory and gauge theory on noncommutative spaces have been established as their own areas of research in recent years. The hope prevails that a noncommutative gauge theory will deliver testable experimental predictions and will thus be a serious candidate for an extension of the Standard Model. This note contains the results for expanded gauge theory actions on a noncommutative space with constant θ µν, up to second order, together with a discussion of the ambiguities of the expanded theory and how they affect the action. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-30

Source:

http://arxiv.org/pdf/hep-th/0409085v1.pdf

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text

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en

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Title:

A symmetry invariant integral on κ-deformed spacetime,” hep-th/0409128

Author:

Description:

In this note we present an approach using both constructive and Hopf algebraic methods to contribute to the not yet fully satisfactory definition of an integral on κ-deformed spacetime. The integral presented here is based on the inner product of differential forms and it is shown that this integral is explicitly invariant under the deformed sym...

In this note we present an approach using both constructive and Hopf algebraic methods to contribute to the not yet fully satisfactory definition of an integral on κ-deformed spacetime. The integral presented here is based on the inner product of differential forms and it is shown that this integral is explicitly invariant under the deformed symmetry structure. Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-30

Source:

http://arxiv.org/pdf/hep-th/0409128v3.pdf

http://arxiv.org/pdf/hep-th/0409128v3.pdf Minimize

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text

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en

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Title:

Derivatives, forms and vector fields on the κ-deformed

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Euclidean space

Euclidean space Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-29

Source:

http://arxiv.org/pdf/hep-th/0404224v1.pdf

http://arxiv.org/pdf/hep-th/0404224v1.pdf Minimize

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text

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en

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Title:

Derivatives, forms and vector fields on the κ-deformed

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Euclidean space

Euclidean space Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-29

Source:

http://arxiv.org/pdf/hep-th/0404224v2.pdf

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text

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en

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Title:

Deformed Field Theory on κ-spacetime

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A general formalism is developed that allows the construction of a field theory on quantum spaces which are deformations of ordinary spacetime. The symmetry group of spacetime (Poincaré group) is replaced by a quantum group. This formalism is demonstrated for the κ-deformed Poincaré algebra and its quantum space. The algebraic setting is mapped ...

A general formalism is developed that allows the construction of a field theory on quantum spaces which are deformations of ordinary spacetime. The symmetry group of spacetime (Poincaré group) is replaced by a quantum group. This formalism is demonstrated for the κ-deformed Poincaré algebra and its quantum space. The algebraic setting is mapped to the algebra of functions of commuting variables with a suitable ⋆-product. Fields are elements of this function algebra. The Dirac and Klein-Gordon equation are defined and an action is found from which they can be derived. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-03-15

Source:

http://www.esi.ac.at/preprints/esi1523.pdf

http://www.esi.ac.at/preprints/esi1523.pdf Minimize

Document Type:

text

Language:

en

Subjects:

MSC ; 81T75 Noncommutative geometry methods

MSC ; 81T75 Noncommutative geometry methods Minimize

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Lecture given at BW2003 Workshop Mathematical, Theoretical and Phenomenological Challenges Beyond Standard Model

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The aim of this lecture is to clarify the concept of derivatives on quantum spaces [2]. These derivatives are an essential input for the construction of deformed field equations such as the deformed Klein-Gordon or Dirac equations [3]. These deformed field equations are in turn the starting point for field theories on quantum spaces. For a given...

The aim of this lecture is to clarify the concept of derivatives on quantum spaces [2]. These derivatives are an essential input for the construction of deformed field equations such as the deformed Klein-Gordon or Dirac equations [3]. These deformed field equations are in turn the starting point for field theories on quantum spaces. For a given coordinate space there are in general many ways to define derivatives [4]. We shall try to develop a general concept of such derivatives into which all the different sets of derivatives fit and that allows us by adding additional requirements-usually based on symmetries- to reduce the number of possible derivatives. Let me first remind you of the concept of deformed coordinate spaces (DCS) which we will use as quantum spaces. DCS are defined in terms of coordinates ˆx µ,µ = 1. n and relations. Examples of such relations are 1. Canonical relations [5] [ˆx µ, ˆx ν] = iθ µν, (1) for constant θ it leads to the socalled θ-deformed coordinate space (θ-DCS). 2. Lie-type relations [6] where the coordinates form a Lie algebra Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-31

Source:

http://arxiv.org/pdf/hep-th/0408080v2.pdf

http://arxiv.org/pdf/hep-th/0408080v2.pdf Minimize

Document Type:

text

Language:

en

DDC:

190 Modern western philosophy *(computed)*

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