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We study gauge symmetry in F-theory in light of global aspects. For this, we consider not only a simple (local) group, but also a semi-simple group with Abelian factors. Once we specify the complete gauge group by decomposing the…

High Energy Physics - Theory · Physics 2010-02-23 Kang-Sin Choi

This talk reviewed some classic results and recent progress in the resummation of leading and nonleading enhancements in QCD cross sections and of poles in dimensionally-regularized hard-scattering amplitudes.

High Energy Physics - Phenomenology · Physics 2017-08-23 George Sterman

Building on recent work in SU(N) Yang-Mills theory, we construct a manifestly gauge invariant exact renormalization group for QCD. A gauge invariant cutoff is constructed by embedding the physical gauge theory in a spontaneously broken…

High Energy Physics - Theory · Physics 2008-11-26 Tim R. Morris , Oliver J. Rosten

Motivated by the gluon condensate in QCD we study the perturbative expansion of a gauge theory in the presence of gauge bosons of vanishing momentum, in the specific case of an abelian theory. The background is characterised by a…

High Energy Physics - Phenomenology · Physics 2010-10-27 Dennis D. Dietrich , Paul Hoyer , Matti Jarvinen , Stephane Peigne

It is shown that the commonly accepted relationship between the Landau singularity in the running coupling constant of QED or QCD and the renormalon singularities in the Borel sums of perturbation theory expansions is only a particular…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Peris , E. de Rafael

The axion solution to the strong CP problem requires an anomalous global U(1) symmetry. We show that the existence of such a symmetry is a natural consequence of an extra dimension in which a gauged U(1) is spontaneously broken on one of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hsin-Chia Cheng , David Elazzar Kaplan

The analysis of spontaneous gauge symmetry breaking of N=1 supersymmetric SU(N_c) Yang-Mills theory with matter is performed. The supersymmetric $R_\xi$-gauge is used and its non-local effects investigated. Superpropagators and vertices are…

High Energy Physics - Theory · Physics 2007-10-12 Jean-François Fortin

The axial anomaly of the noncommutative U(1) gauge theory is calculated by a number of methods and compared with the commutative one. It is found to be given by the corresponding Chern class.

High Energy Physics - Theory · Physics 2009-10-31 Farhad Ardalan , Neda Sadooghi

Extensions of the Standard Model with extra neutral currents due to additional anomalous abelian gauge factors are considered. We summarize the main features of the effective action associated to these theories. They are characterized by an…

High Energy Physics - Phenomenology · Physics 2008-11-26 Roberta Armillis , Claudio Coriano , Marco Guzzi

A contour gauge of general type is analysed where 1-form (vector potential) is expressed as a contour integral of the 2-form (field strength) along an arbitrary contour $C$. For a special class of contours the gauge condition reduces to…

High Energy Physics - Theory · Physics 2007-05-23 V. I. Shevchenko , Yu. A. Simonov

A prescription for center gauge fixing for pure Yang-Mills theory in the continuum with general gauge groups is presented. The emergence of various types of singularities (magnetic monopoles and center vortices) appearing in the course of…

High Energy Physics - Theory · Physics 2014-11-18 H. Reinhardt , T. Tok

Analyses which use loop calculations to put constraints on anomalous trilinear gauge boson couplings (TGC's) often give bounds which are much too stringent. The reason has nothing to do with gauge invariance, in contrast to the recent…

High Energy Physics - Phenomenology · Physics 2007-05-23 David London , C. P. Burgess

It has been suggested that the existence of a non-Gaussian fixed point in general relativity might cure the ultraviolet problems of this theory. Such a fixed point is connected to an effective running of the gravitational coupling. We…

High Energy Physics - Phenomenology · Physics 2009-11-13 Ben Koch

In this paper we study the question of residual gauge fixing in the path integral approach for a general class of axial-type gauges including the light-cone gauge. We show that the two cases -- axial-type gauges and the light-cone gauge --…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , J. Frenkel , Silvana Perez

One of the central concepts in modern theoretical physics, gauge symmetry, is typically realised by lifting a finite-dimensional global symmetry group of a given functional to an infinite-dimensional local one by extending the functional to…

High Energy Physics - Theory · Physics 2017-05-16 Athanasios Chatzistavrakidis , Andreas Deser , Larisa Jonke , Thomas Strobl

The Weyl-gauge ($A_0^a=0)$ QCD Hamiltonian is unitarily transformed to a representation in which it is expressed entirely in terms of gauge-invariant quark and gluon fields. In a subspace of gauge-invariant states we have constructed that…

High Energy Physics - Theory · Physics 2007-05-23 Kurt Haller

String tension is introduced in perturbative QCD without hindering ultra violet renormalizability . The running gauge coupling constant remains unaltered and the string tension in the high energy limit vanishes asymptotically. Using 1/N…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ramesh Anishetty

The perturbative part of the effective QCD Lagrangian was constructed by the renormalization group approach in the 4-loop approximation. It was extrapolated in the non-perturbative region under the assumption of the existence of gluon…

High Energy Physics - Phenomenology · Physics 2011-04-15 P. A. Kovalenko , L. V. Laperashvili

We have investigated a system with two sets of staggered fermions with charges 1 and -1/2 coupling to a non-compact U(1) gauge field in 4 dimensions. The model exhibits breaking of chiral symmetries of both fermions at different values of…

High Energy Physics - Lattice · Physics 2009-10-22 Arifa Ali Khan

We construct a gauge invariant regularisation scheme for pure SU(N) Yang-Mills theory in fixed dimension four or less (for N = infinity in all dimensions), with a physical cutoff scale Lambda, by using covariant higher derivatives and…

High Energy Physics - Theory · Physics 2009-11-07 Stefano Arnone , Yuri A. Kubyshin , Tim R. Morris , John F. Tighe