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Title:

Anharmonic Oscillator Equations: Treatment Parallel to Mathieu Equation

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The treatment of anharmonic oscillators (including double-wells) by instanton methods is wellknown. The alternative differential equation method is not so wellknown. Here we reformulate the latter completely parallel to the strong coupling case of the cosine potential and Mathieu equation for which extensive literature and monographs exist. 1

The treatment of anharmonic oscillators (including double-wells) by instanton methods is wellknown. The alternative differential equation method is not so wellknown. Here we reformulate the latter completely parallel to the strong coupling case of the cosine potential and Mathieu equation for which extensive literature and monographs exist. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0407235v1.pdf

http://arxiv.org/pdf/quant-ph/0407235v1.pdf Minimize

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text

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en

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Title:

Anharmonic Oscillator Equations: Treatment Parallel to Mathieu Equation

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Description:

The treatment of anharmonic oscillators (including double wells) by instanton methods is wellknown. The alternative differential equation method — excepting various WKB eigenvalue approximations — is not so wellknown. Here we reformulate the latter completely parallel to the strong coupling case of the cosine potential and Mathieu equation for w...

The treatment of anharmonic oscillators (including double wells) by instanton methods is wellknown. The alternative differential equation method — excepting various WKB eigenvalue approximations — is not so wellknown. Here we reformulate the latter completely parallel to the strong coupling case of the cosine potential and Mathieu equation for which extensive literature and monographs exist. The solutions and eigenvalues of the anharmonic oscillator equations are obtained analogously as asymptotic expansions, and the exponentially small deviations are shown to follow from the imposition of boundary conditions — completely parallel to the case of the Mathieu equation. In spite of the additional involvement of WKB solutions, the exploitation of parameter symmetries of the basic equation (as in the case of the Mathieu equation) leads to a double well level splitting which agrees with the otherwise Furry–factor improved WKB approximation (and, of course, with calculations using periodic instantons). 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0407235v2.pdf

http://arxiv.org/pdf/quant-ph/0407235v2.pdf Minimize

Document Type:

text

Language:

en

DDC:

518 Numerical analysis *(computed)*

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Title:

Holographic Trace Anomaly and Cocycle of Weyl Group, arXiv: hep-th/0103082

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∗ 2 The behavior of the divergent part of the bulk AdS/CFT effective action is considered with respect to the special finite diffeomorphism transformations acting on the boundary as a Weyl transformation of the boundary metric. The resulting 1-cocycle of the Weyl group is in full agreement with the 1-cocycle of the Weyl group obtained from the c...

∗ 2 The behavior of the divergent part of the bulk AdS/CFT effective action is considered with respect to the special finite diffeomorphism transformations acting on the boundary as a Weyl transformation of the boundary metric. The resulting 1-cocycle of the Weyl group is in full agreement with the 1-cocycle of the Weyl group obtained from the cohomological consideration of the effective action of the corresponding CFT. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-29

Source:

http://arxiv.org/pdf/hep-th/0103082v2.pdf

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Document Type:

text

Language:

en

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Title:

The Structure of D2–Branes in the Presence of an RR field

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A Born–Infeld theory describing a D2–brane coupled to a 3–form RR potential is reconsidered and a new type of static solution is obtained which is even stable.

A Born–Infeld theory describing a D2–brane coupled to a 3–form RR potential is reconsidered and a new type of static solution is obtained which is even stable. Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-29

Source:

http://arxiv.org/pdf/hep-th/0012108v3.pdf

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text

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en

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Title:

The Structure of D2–Branes in the Presence of an RR field

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A Born–Infeld theory describing a D2–brane coupled to a 3–form RR potential is reconsidered in order to determine the dominant nonsingular tunneling trajectory with finite action which determines the decay rate of the brane. 1

A Born–Infeld theory describing a D2–brane coupled to a 3–form RR potential is reconsidered in order to determine the dominant nonsingular tunneling trajectory with finite action which determines the decay rate of the brane. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-29

Source:

http://arxiv.org/pdf/hep-th/0012108v2.pdf

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text

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en

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Title:

Holographic Trace Anomaly and Cocycle of Weyl Group, arXiv: hep-th/0103082

Author:

Description:

∗ 2 The behavior of the divergent part of the bulk AdS/CFT effective action is considered with respect to the special finite diffeomorphism transformations acting on the boundary as a Weyl transformation of the boundary metric. The resulting 1-cocycle of the Weyl group is in full agreement with the 1-cocycle of the Weyl group obtained from the c...

∗ 2 The behavior of the divergent part of the bulk AdS/CFT effective action is considered with respect to the special finite diffeomorphism transformations acting on the boundary as a Weyl transformation of the boundary metric. The resulting 1-cocycle of the Weyl group is in full agreement with the 1-cocycle of the Weyl group obtained from the cohomological consideration of the effective action of the corresponding CFT. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-29

Source:

http://arxiv.org/pdf/hep-th/0103082v1.pdf

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Document Type:

text

Language:

en

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Title:

Self-Duality of Various Chiral Boson Actions

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The duality symmetries of various chiral boson actions are investigated using D = 2 and D = 6 space-time dimensions as examples. These actions involve the Siegel, Floreanini-Jackiw, Srivastava and Pasti-Sorokin-Tonin formulations. We discover that the Siegel, Floreanini-Jackiw and Pasti-Sorokin-Tonin actions have self-duality with respect to a c...

The duality symmetries of various chiral boson actions are investigated using D = 2 and D = 6 space-time dimensions as examples. These actions involve the Siegel, Floreanini-Jackiw, Srivastava and Pasti-Sorokin-Tonin formulations. We discover that the Siegel, Floreanini-Jackiw and Pasti-Sorokin-Tonin actions have self-duality with respect to a common anti-dualization of chiral boson fields in D = 2 and D = 6 dimensions, respectively, while the Srivastava action is self-dual with respect to a generalized dualization of chiral boson fields. Moreover, the action of the Floreanini-Jackiw chiral bosons interacting with gauge fields in D = 2 dimensions also has self-duality but with respect to a generalized anti-dualization of chiral boson fields. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-31

Source:

http://arxiv.org/pdf/hep-th/9912066v2.pdf

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text

Language:

en

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Title:

Universality or Non–Universality of Absorption Cross Sections for Extended Objects

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The calculation of absorption cross sections for minimal scalars in supergravity backgrounds is an important aspect of the investigation of AdS/CFT correspondence and requires a matching of appropriate wave functions. The low energy case has attracted particular attention. In the following the dependence of the cross section on the matching poin...

The calculation of absorption cross sections for minimal scalars in supergravity backgrounds is an important aspect of the investigation of AdS/CFT correspondence and requires a matching of appropriate wave functions. The low energy case has attracted particular attention. In the following the dependence of the cross section on the matching point is investigated. It is shown that the low energy limit is independent of the matching point and hence exhibits universality. In the high energy limit the independence is not maintained, but the result is believed to possess the correct energy dependence. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-28

Source:

http://arxiv.org/pdf/hep-th/0008215v1.pdf

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text

Language:

en

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Title:

The Stability of D2–Branes in the Presence of an RR field

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A Born–Infeld theory describing a D2–brane coupled to a 3–form RR potential is reconsidered in order to investigate the stability of its nonsingular solutions with finite energy. The condition of stability of the solutions is established and the stable solutions and their shape are determined. 1

A Born–Infeld theory describing a D2–brane coupled to a 3–form RR potential is reconsidered in order to investigate the stability of its nonsingular solutions with finite energy. The condition of stability of the solutions is established and the stable solutions and their shape are determined. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-29

Source:

http://arxiv.org/pdf/hep-th/0012108v1.pdf

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text

Language:

en

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Title:

SPACE SYMMETRIES AND QUANTUM BEHAVIOR OF FINITE ENERGY CONFIGURATIONS IN SU(2)-GAUGE THEORY

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The quantum properties of localized finite energy solutions to classical Euler-Lagrange equations are investigated using the method of collective coordinates. The perturbation theory in terms of inverse powers of the coupling constant g is constructed, taking into account the conservation laws of momentum and angular momentum (invariance of the ...

The quantum properties of localized finite energy solutions to classical Euler-Lagrange equations are investigated using the method of collective coordinates. The perturbation theory in terms of inverse powers of the coupling constant g is constructed, taking into account the conservation laws of momentum and angular momentum (invariance of the action with respect to the group of motion M(3) of 3-dimensional Euclidean space) rigorously in every order of perturbation theory. Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-31

Source:

http://arxiv.org/pdf/hep-th/0605281v1.pdf

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text

Language:

en

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