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Canonical methods are not sufficient to properly quantize space-like axial gauges. In this paper, we obtain guiding principles which allow the construction of an extended Hamiltonian formalism for pure space-like axial gauge fields. To do…

High Energy Physics - Theory · Physics 2009-11-10 Yuji Nakawaki , Gary McCartor

We construct the Zinn-Justin-Batalin-Vilkovisky action for tachyons and gauge bosons from Witten's 3-string vertex of the bosonic open string without gauge fixing. Through canonical transformations, we find the off-shell, local,…

High Energy Physics - Theory · Physics 2008-11-26 Haidong Feng , Warren Siegel

The Hamiltonian description of classical gauge theories is a very well studied subject. The two best known approaches, namely the covariant and canonical Hamiltonian formalisms have received a lot of attention in the literature. However, a…

High Energy Physics - Theory · Physics 2024-02-01 Alejandro Corichi , Juan D. Reyes , Tatjana Vukasinac

We review the procedure by which we implemented the non-Abelian Gauss's law and constructed gauge-invariant fields for QCD in the temporal (Weyl) gauge. We point out that the operator-valued transformation that transforms gauge-dependent…

High Energy Physics - Theory · Physics 2017-08-23 Kurt Haller

We show that the Seiberg-Witten map for a noncommutative gauge theory involves a noncommutative 1-cocycle. The cocycle condition enforces a consistency requirement, which has been previously derived.

High Energy Physics - Theory · Physics 2009-11-07 R. Jackiw , S. -Y. Pi

Package FeynGrav which provides a framework to deal with Feynman rules for gravity within FeynCalc is presented. We present a framework to deal with the corresponding Feynman rules for general relativity and non-supersymmetric matter…

High Energy Physics - Theory · Physics 2022-07-25 Boris Latosh

Abelian anomaly is examined by means of the recently proposed gauge invariant regularization for SO(10) chiral gauge theory and its generalization for a theory of arbitrary gauge group with anomaly-free chiral fermion contents. For both…

High Energy Physics - Theory · Physics 2009-10-22 S. Aoki , Y. Kikukawa

Gauge fixing and the observable fields for both abelian and non-abelian gauge theories with spontaneous breaking of gauge symmetry are studied. We explicitly show that it is possible to globally fix the gauge in the broken sector and hence…

High Energy Physics - Theory · Physics 2009-10-28 Martin Lavelle , David McMullan

The Feynman-Schwinger representation provides a convenient framework for the cal culation of nonperturbative propagators. In this paper we first investigate an analytically solvable case, namely the scalar QED in 0+1 dimension. With this…

High Energy Physics - Phenomenology · Physics 2014-11-17 C. Savkli , J. Tjon , F. Gross

Gauge theories, while describing fundamental interactions in nature, also emerge in a wide variety of physical systems. Abelian gauge fields have been predicted and observed in a number of novel quantum many-body systems, topological…

Mesoscale and Nanoscale Physics · Physics 2016-06-02 T. Li , L. A. Yeoh , A. Srinivasan , O. Klochan , D. A. Ritchie , M. Y. Simmons , O. P. Sushkov , A. R Hamilton

We express the unitary time evolution in non-relativistic regularized quantum electrodynamics at zero and positive temperature by a Feynman integral defined in terms of a complex Brownian motion. An average over the quantum electromagnetic…

High Energy Physics - Phenomenology · Physics 2009-10-28 Z. Haba

It is shown that in the absence of free abelian gauge fields, the conserved currents of (classical) Yang-Mills gauge models coupled to matter fields can be always redefined so as to be gauge invariant. This is a direct consequence of the…

High Energy Physics - Theory · Physics 2009-10-28 Glenn Barnich , Friedemann Brandt , Marc Henneaux

In a way analogous to type IIB supergravity, we give a covariant action for the fermion field supplemented with a constraint which should be imposed on equations of motion, in Berkovits' open superstring field theory. From this action we…

High Energy Physics - Theory · Physics 2010-02-03 Yoji Michishita

Remarkably we find that for a ring with linear boundary conditions such that the eigenvector and its derivative are continuous, there does not seem to be a way for the well-known de Broglie relation to be gauge invariant. Certain nonlinear…

Quantum Physics · Physics 2015-01-12 Arthur Davidson

We review quantization of gauge fields using algebraic properties of 3-regular graphs. We derive the Feynman integrand at n loops for a non-abelian gauge theory quantized in a covariant gauge from scalar integrands for connected 3-regular…

High Energy Physics - Theory · Physics 2015-06-11 Dirk Kreimer , Matthias Sars , Walter D. van Suijlekom

We present a formalism to explicitly construct non-Abelian gauge theories on noncommutative spaces (induced via a star product with aconstant Poisson tensor) from a consistency relation. This results in an expansion of the gauge parameter,…

High Energy Physics - Theory · Physics 2011-09-13 Branislav Jurco , Lutz Möller , Stefan Schraml , Peter Schupp , Julius Wess

In this Letter, we construct a set of order parameters for non-Abelian gauge theories which probe directly the unbroken group and are free of the deficiencies caused by quantum fluctuations and gauge fixing which have plagued all previous…

High Energy Physics - Theory · Physics 2009-09-25 Hoi-Kwong Lo

We find a large class of quantum gauge models with massless fermions where the coupling to the gauge fields is not chirally symmetric and which nevertheless do not suffer from gauge anomalies. To be specific we study two dimensional Abelian…

High Energy Physics - Theory · Physics 2009-10-31 Harald Grosse , Edwin Langmann

For a massive gauge theory with Higgs mechanism in a physical gauge, the longitudinal polarization of gauge bosons can be naturally identified as mixture of the goldstone component and a remnant gauge component that vanishes at the limit of…

High Energy Physics - Phenomenology · Physics 2019-03-28 Junmou Chen

We study the abelian Higgs model out-of-equilibrium in two different approaches, a gauge invariant formulation, proposed by Boyanovsky et al. \cite{Boyanovsky:1996dc} and in the Coulomb gauge. We show that both approaches become equivalent…

High Energy Physics - Phenomenology · Physics 2009-11-07 Katrin Heitmann
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