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We perform a systematic one-loop renormalization of a general renormalizable Yang-Mills theory coupled to scalars and fermions using a regularization scheme with a smooth momentum cutoff $\Lambda$ (implemented through an exponential damping…

High Energy Physics - Phenomenology · Physics 2016-12-21 Piotr H. Chankowski , Adrian Lewandowski , Krzysztof A. Meissner

Perturbative Coulomb gauge Yang-Mills theory within the first order formalism is considered. Using a differential equation technique and dimensional regularization, analytic results for both the ultraviolet divergent and finite parts of the…

High Energy Physics - Theory · Physics 2008-11-26 Peter Watson , Hugo Reinhardt

Perturbation theory for non-Abelian gauge theories at finite temperature is plagued by infrared divergences caused by magnetic soft modes $\sim g^2T$, which correspond to the fields of a 3d Yang-Mills theory. We revisit a gauge invariant…

High Energy Physics - Phenomenology · Physics 2015-06-04 D. Bieletzki , K. Lessmeier , O. Philipsen , Y. Schroder

Recently, models of two-dimensional dilaton gravity have been shown to admit classical black-hole solutions that exhibit Hawking radiation at the semi-classical level. These classical and semi-classical analyses have been performed in…

High Energy Physics - Theory · Physics 2010-11-01 Xiang Shen

We examine the restoration of the residual gauge symmetry in the Yang-Mills theory to be regarded as a confinement criterion. For this purpose we restrict the four-dimensional $SU(2)$ Yang-Mills instantons to those with spatial spherical…

High Energy Physics - Theory · Physics 2025-10-30 Naoki Fukushima , Kei-Ichi Kondo

Physical mass spectra of supersymmetric Yang-Mills theories in 1+1 dimensions are evaluated in the light-cone gauge with a compact spatial dimension. The supercharges are constructed and the infrared regularization is unambiguously…

High Energy Physics - Theory · Physics 2010-11-01 Yoichiro Matsumura , Norisuke Sakai , Tadakatsu Sakai

We discuss a renormalization scheme for relativistic baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. The method involves finite subtractions of dimensionally regularized…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Fuchs , J. Gegelia , G. Japaridze , S. Scherer

Supersymmetry on the lattice is explicitly broken by the gluino mass and lattice artifacts. However, it can be restored in the continuum limit by fine tuning the parameters based on the renormalized Ward identities. On the renormalization…

High Energy Physics - Lattice · Physics 2022-12-21 Georg Bergner , Marios Costa , Haralambos Panagopoulos , Stefano Piemonte , Ivan Soler , Gregoris Spanoudes

Supersymmetric pure Yang-Mills theory is formulated with a local, i.e. space-time dependent, complex coupling in superspace. Super-Yang-Mills theories with local coupling have an anomaly, which has been first investigated in the Wess-Zumino…

High Energy Physics - Theory · Physics 2010-04-05 E. Kraus , C. Rupp , K. Sibold

The Refined Gribov-Zwanziger framework takes into account the existence of equivalent gauge field configurations in the gauge-fixing quantization procedure of Euclidean Yang-Mills theories. Recently, this setup was extended to the family of…

High Energy Physics - Theory · Physics 2017-09-27 M. A. L. Capri , D. Fiorentini , A. D. Pereira , S. P. Sorella

The electric charge renormalization constant, as defined in the Thomson limit, is expressed in terms of self-energies of the photon-Z-boson system in an arbitrary R_\xi-gauge to all perturbative orders. The derivation as carried out in the…

High Energy Physics - Phenomenology · Physics 2021-03-24 Stefan Dittmaier

For supersymmetric gauge theories a consistent regularization scheme that preserves supersymmetry and gauge invariance is not known. In this article we tackle this problem for supersymmetric QED within the framework of algebraic…

High Energy Physics - Phenomenology · Physics 2011-09-13 W. Hollik , E. Kraus , D. Stöckinger

A mathematically rigorous relativistic quantum Yang-Mills theory with an arbitrary semisimple compact gauge Lie group is set up in the Hamiltonian canonical formalism. The theory is non-perturbative, without cut-offs, and agrees with the…

Mathematical Physics · Physics 2017-04-26 Alexander Dynin

Chern-Simons theory coupled to complex scalars is quantized on the light- front in the local light-cone gauge by constructing the self-consistent hamiltonian theory. It is shown that no inconsistency arises on using two local gauge-fixing…

High Energy Physics - Theory · Physics 2007-05-23 Prem P. Srivastava

Perturbative renormalization of a non-Abelian Chern-Simons gauge theory is examined. It is demonstrated by explicit calculation that, in the pure Chern-Simons theory, the beta-function for the coefficient of the Chern-Simons term vanishes…

High Energy Physics - Theory · Physics 2009-10-22 Wei Chen , Gordon W. Semenoff , Yong-Shi Wu

We consider constructing a canonical quantum theory of the light-cone gauge ($A_-$=0) Schwinger model in the light-cone representation. Quantization conditions are obtained by requiring that translational generators $P_+$ and $P_-$ give…

High Energy Physics - Theory · Physics 2008-11-26 Yuji Nakawaki , Gary McCartor

We continue the investigation from a previous paper concerning the super-renormalizablity of gauge models going to the third order of the perturbation theory. Here we consider only the Yang-Mills case and we prove that this property is true…

High Energy Physics - Theory · Physics 2013-01-17 Dan-Radu Grigore

We study renormalizability aspects of the spectral action for the Yang-Mills system on a flat 4-dimensional background manifold, focusing on its asymptotic expansion. Interpreting the latter as a higher-derivative gauge theory, a…

Mathematical Physics · Physics 2015-05-28 Walter D. van Suijlekom

We provide N=1 Super Yang-Mills theory in the Wess-Zumino gauge with mass terms for the supersymmetric partners of the gauge fields and of the matter fields, together with a supersymmetric mass term for the fermionic matter fields. All mass…

High Energy Physics - Theory · Physics 2010-02-05 Nicola Maggiore , Olivier Piguet , Sylvain Wolf

Gauge symmetries emerge from a redundant description of the effective action for light degrees of freedom after the decoupling of heavy modes. This redundant description avoids the use of explicit constraints in configuration space. For…

High Energy Physics - Theory · Physics 2017-01-04 C. Wetterich