oalib
Search Results: 1 - 10 of 100 matches for " "
All listed articles are free for downloading (OA Articles)
Page 1 /100
Display every page Item
Translation-Invariant Noncommutative Gauge Theories, Matrix Modeling and Noncommutative Geometry  [PDF]
Amir Abbass Varshovi
Physics , 2011,
Abstract: A matrix modeling formulation for translation-invariant noncommutative gauge theories is given in the setting of differential graded algebras and quantum groups. Translation-invariant products are discussed in the setting of {\alpha}-cohomology and it is shown that loop calculations are entirely determined by {\alpha}-cohomology class of star product in all orders. Noncommutative version of geometric quantization and (anti-) BRST transformations is worked out which leads to a noncommutative description of consistent anomalies and Schwinger terms.
Scalar and gauge translation-invariant noncommutative models  [PDF]
Adrian Tanasa
Physics , 2008,
Abstract: We make here a short overview of the recent developments regarding translation-invariant models on the noncommutative Moyal space. A scalar model was first proposed and proved renormalizable. Its one-loop renormalization group flow and parametric representation were calculated. Furthermore, a mechanism to take its commutative limit was recently given. Finally, a proposition for a renormalizable, translation-invariant gauge model was made.
A note on consistent anomalies in noncommutative YM theories  [PDF]
L. Bonora,M. Schnabl,A. Tomasiello
Physics , 2000, DOI: 10.1016/S0370-2693(00)00714-0
Abstract: Via descent equations we derive formulas for consistent gauge anomalies in noncommutative Yang-Mills theories.
Translational-invariant noncommutative gauge theory  [PDF]
F. Ardalan,N. Sadooghi
Physics , 2010, DOI: 10.1103/PhysRevD.83.025014
Abstract: A generalized translational invariant noncommutative field theory is analyzed in detail, and a complete description of translational invariant noncommutative structures is worked out. The relevant gauge theory is described, and the planar and nonplanar axial anomalies are obtained.
Translation-Invariant Noncommutative Renormalization
Adrian Tanasa
Symmetry, Integrability and Geometry : Methods and Applications , 2010,
Abstract: We review here the construction of a translation-invariant scalar model which was proved to be perturbatively renormalizable on Moyal space. Some general considerations on nonlocal renormalizability are given. Finally, we present perspectives for generalizing these quantum field theoretical techniques to group field theory, a new setting for quantum gravity.
Translation-Invariant Noncommutative Renormalization  [PDF]
Adrian Tanasa
Physics , 2010, DOI: 10.3842/SIGMA.2010.047
Abstract: We review here the construction of a translation-invariant scalar model which was proved to be perturbatively renormalizable on Moyal space. Some general considerations on nonlocal renormalizability are given. Finally, we present perspectives for generalizing these quantum field theoretical techniques to group field theory, a new setting for quantum gravity.
One loop radiative corrections to the translation-invariant noncommutative Yukawa Theory  [PDF]
Karim Bouchachia,Smain Kouadik,Mahmoud Hachemane,Manfred Schweda
Mathematics , 2015, DOI: 10.1088/1751-8113/48/36/365401
Abstract: We elaborate in this paper a translation-invariant model for fermions in 4-dimensional noncommutative Euclidean space. The construction is done on the basis of the renormalizable noncommutative translation-invariant Phi4 theory introduced by R. Gurau et al. We combine our model with the scalar model, in order to study the noncommutative pseudo-scalar Yukawa theory. After we derive the Feynman rules of the theory, we perform an explicit calculation of the quantum corrections at one loop level to the propagators and vertices.
Anomalies in noncommutative gauge theories, Seiberg-Witten transformation and Ramond-Ramond couplings  [PDF]
Rabin Banerjee
Physics , 2003,
Abstract: We propose an exact expression for the unintegrated form of the star gauge invariant axial anomaly in an arbitrary even dimensional gauge theory. The proposal is based on the inverse Seiberg-Witten map and identities related to it, obtained earlier by comparing Ramond-Ramond couplings in different decsriptions. The integrated anomalies are expressed in terms of a simplified version of the Elliott formula involving the noncommutative Chern character. These anomalies, under the Seiberg-Witten transformation, reduce to the ordinary axial anomalies. Compatibility with existing results of anomalies in noncommutative theories is established.
Parametric representation of a translation-invariant renormalizable noncommutative model  [PDF]
Adrian Tanasa
Physics , 2008, DOI: 10.1088/1751-8113/42/36/365208
Abstract: We construct here the parametric representation of a translation-invariant renormalizable scalar model on the noncommutative Moyal space of even dimension $D$. This representation of the Feynman amplitudes is based on some integral form of the noncommutative propagator. All types of graphs (planar and non-planar) are analyzed. The r\^ole played by noncommutativity is explicitly shown. This parametric representation established allows to calculate the power counting of the model. Furthermore, the space dimension $D$ is just a parameter in the formulas obtained. This paves the road for the dimensional regularization of this noncommutative model.
Chiral Gauge Anomalies on Noncommutative R^4  [PDF]
J. M. Gracia-Bondia,C. P. Martin
Physics , 2000, DOI: 10.1016/S0370-2693(00)00344-0
Abstract: We discuss the noncommutative counterparts of chiral gauge theories and compute the associated anomalies.
Page 1 /100
Display every page Item


Home
Copyright © 2008-2017 Open Access Library. All rights reserved.