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Abstract: 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....

Abstract: 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. Keywords: Gauge Symmetry, Non-Commutative Geometry. Contents Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-31

Source:

http://arxiv.org/pdf/hep-th/0504129v2.pdf

http://arxiv.org/pdf/hep-th/0504129v2.pdf Minimize

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text

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en

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Title:

D-deformed Wess-Zumino model and its renormalizability properties

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Using the methods developed in earlier papers we analyze a new type of deformation of the superspace. The twist we use to deform the N = 1 SUSY Hopf algebra is non-hermitian and is given in terms of the covariant derivatives Dα. A SUSY invariant deformation of the Wess-Zumino action is constructed and compared with results already known in the l...

Using the methods developed in earlier papers we analyze a new type of deformation of the superspace. The twist we use to deform the N = 1 SUSY Hopf algebra is non-hermitian and is given in terms of the covariant derivatives Dα. A SUSY invariant deformation of the Wess-Zumino action is constructed and compared with results already known in the literature. Finally, by calculating divergences of the two-point Green functions a preliminary analysis of renormalizability properties of the constructed model is done. As expected, there is no renormalization of mass and no tadpole diagrams appear. Keywords: supersymmetry, non-hermitian twist, deformed Wess-Zumino model, renormalization Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-26

Source:

http://arxiv.org/pdf/0902.1864v1.pdf

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text

Language:

en

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MPP-2004-111 Deformed Bialgebra of Diffeomorphisms

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The algebra of diffeomorphisms derived from general coordinate transformations on commuting coordinates is represented by differential operators on noncommutative spaces. The algebra remains unchanged, the comultiplication however is deformed, that way we have found a deformed bialgebra of diffeomorphisms. Scalar, vector and tensor fields are de...

The algebra of diffeomorphisms derived from general coordinate transformations on commuting coordinates is represented by differential operators on noncommutative spaces. The algebra remains unchanged, the comultiplication however is deformed, that way we have found a deformed bialgebra of diffeomorphisms. Scalar, vector and tensor fields are defined with appropriate transformation laws under the deformed algebra and a differential calculus is developed. For pedagogical reasons the formalism is developed for the θ-deformed space as it is the best known example of deformed spaces. Talk given by Marija Dimitrijević 1 at the 1st Vienna Central European Seminar on Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-29

Source:

http://arxiv.org/pdf/hep-th/0411224v1.pdf

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Document Type:

text

Language:

en

Subjects:

Particle Physics and Quantum Field Theory ; 26-28 November 2004 Keywords ; deformed spaces ; derivatives ; deformed diffeomorphisms

Particle Physics and Quantum Field Theory ; 26-28 November 2004 Keywords ; deformed spaces ; derivatives ; deformed diffeomorphisms Minimize

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Title:

D-deformed Wess-Zumino model and its renormalizability properties

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Description:

Using the methods developed in earlier papers we analyze a new type of deformation of the superspace. The twist we use to deform the N = 1 SUSY Hopf algebra is non-hermitian and is given in terms of the covariant derivatives Dα. A SUSY invariant deformation of the Wess-Zumino action is constructed and compared with results already known in the l...

Using the methods developed in earlier papers we analyze a new type of deformation of the superspace. The twist we use to deform the N = 1 SUSY Hopf algebra is non-hermitian and is given in terms of the covariant derivatives Dα. A SUSY invariant deformation of the Wess-Zumino action is constructed and compared with results already known in the literature. Finally, by calculating divergences of the two-point Green functions a preliminary analysis of renormalizability properties of the constructed model is done. As expected, there is no renormalization of mass and no tadpole diagrams appear. Keywords: supersymmetry, non-hermitian twist, deformed Wess-Zumino model, renormalization Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-26

Source:

http://arxiv.org/pdf/0902.1864v2.pdf

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text

Language:

en

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Title:

Twisted Gauge Theories

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Gauge theories on a space-time that is deformed by the Moyal-Weyl product are constructed by twisting the coproduct for gauge transformations. This way a deformed Leibniz rule is obtained, which is used to construct gauge invariant quantities. The connection will be enveloping algebra valued in a particular representation of the Lie algebra. Thi...

Gauge theories on a space-time that is deformed by the Moyal-Weyl product are constructed by twisting the coproduct for gauge transformations. This way a deformed Leibniz rule is obtained, which is used to construct gauge invariant quantities. The connection will be enveloping algebra valued in a particular representation of the Lie algebra. This gives rise to additional fields, which couple only weakly via the deformation parameter θ and reduce in the commutative limit to free fields. Consistent field equations that lead to conservation laws are derived and some properties of such theories are discussed. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-03-15

Source:

http://www.esi.ac.at/preprints/esi1838.pdf

http://www.esi.ac.at/preprints/esi1838.pdf Minimize

Document Type:

text

Language:

en

Subjects:

deformed spaces ; twisted gauge transformations

deformed spaces ; twisted gauge transformations Minimize

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der Ludwig–Maximilians–Universität

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κ-deformed gauge theory and

κ-deformed gauge theory and Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-06-21

Source:

http://edoc.ub.uni-muenchen.de/4670/1/Dimitrijevic_Marija.pdf

http://edoc.ub.uni-muenchen.de/4670/1/Dimitrijevic_Marija.pdf Minimize

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text

Language:

en

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Title:

Noncommutative geometry and gravity

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We study a deformation of infinitesimal diffeomorphisms of a smooth manifold. The deformation is based on a general twist. This leads to a differential geometry on a noncommutative algebra of functions whose product is a star-product. The class of noncommutative spaces studied is very rich. Non-anticommutative superspaces are also briefly consid...

We study a deformation of infinitesimal diffeomorphisms of a smooth manifold. The deformation is based on a general twist. This leads to a differential geometry on a noncommutative algebra of functions whose product is a star-product. The class of noncommutative spaces studied is very rich. Non-anticommutative superspaces are also briefly considered. The differential geometry developed is covariant under deformed diffeomorphisms and it is coordinate independent. The main target of this work is the construction of Einstein’s equations for gravity on noncommutative manifolds. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-31

Source:

http://arxiv.org/pdf/hep-th/0510059v1.pdf

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text

Language:

en

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July 2001 Quantum corrections for BTZ black hole via 2D reduced model

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The one-loop quantum corrections for BTZ black hole are considered using the dimensionally reduced 2D model. Cases of 3D minimal and conformal coupling are analyzed. Two cases are considered: minimally coupled and conformally coupled 3D scalar matter. In the minimal case, the Hartle-Hawking and Unruh vacuum states are defined and the correspondi...

The one-loop quantum corrections for BTZ black hole are considered using the dimensionally reduced 2D model. Cases of 3D minimal and conformal coupling are analyzed. Two cases are considered: minimally coupled and conformally coupled 3D scalar matter. In the minimal case, the Hartle-Hawking and Unruh vacuum states are defined and the corresponding semiclassical corrections of the geometry are found. The calculations are done for the conformal case too, in order to make the comparison with the exact results obtained previously in the special case of spinless black hole. Beside that we find exact corrections for AdS2 black hole for 2D minimally coupled scalar field in the Hatrle-Hawking and Boulware state. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-28

Source:

http://arxiv.org/pdf/hep-th/0108036v1.pdf

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text

Language:

en

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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

Contributors:

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

Document Type:

text

Language:

en

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Dynamical noncommutativity and Noether theorem in twisted φ ⋆4 theory

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reproduces the usual Moyal product. The action is invariant under rigid translations and Lorentz rotations, and the conserved energy-momentum and angular momentum tensors are explicitly derived. A ⋆-product is defined via a set of commuting vector fields Xa = e µ a (x)∂µ, and used in a φ⋆4 theory coupled to the e µ a (x) fields. The ⋆-product is...

reproduces the usual Moyal product. The action is invariant under rigid translations and Lorentz rotations, and the conserved energy-momentum and angular momentum tensors are explicitly derived. A ⋆-product is defined via a set of commuting vector fields Xa = e µ a (x)∂µ, and used in a φ⋆4 theory coupled to the e µ a (x) fields. The ⋆-product is dynamical, and the vacuum solution φ = 0, e µ a = δµ a Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-08-04

Source:

http://arxiv.org/pdf/0803.4325v1.pdf

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text

Language:

en

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