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A field theory with local transformations belonging to the quantum group SU_q(n) is defined on a classical spacetime, with gauge potentials belonging to a quantum Lie algebra. Gauge transformations are defined for the potentials which lead…

High Energy Physics - Theory · Physics 2009-10-30 Anthony Sudbery

We use superparticle vertex operator correlators in the light-cone gauge to determine the (DF)^2 R^2 and (DF)^4 terms in the M-theory effective action. Our results, when compactified on a circle, reproduce terms in the type-IIA string…

High Energy Physics - Theory · Physics 2009-11-11 Kasper Peeters , Jan Plefka , Steffen Stern

We show that the particle states of Maxwell's theory, in $D$ dimensions, can be represented in an infinite number of ways by using different gauge fields. Using this result we formulate the dynamics in terms of an infinite set of duality…

High Energy Physics - Theory · Physics 2015-03-02 Nicolas Boulanger , Per Sundell , Peter West

I discuss finite-temperature gauge theories as a framework to describe the quark-gluon plasma in the regime of high temperature where the gauge coupling is small, $g << 1$. I review recent progress in the understanding of the long-range…

High Energy Physics - Phenomenology · Physics 2007-05-23 Edmond Iancu

We study aspects of gauge theory on tori which are a consequences of Morita equivalence. In particular we study the behavior of gauge theory on noncommutative tori for arbitrarily close rational values of Theta. For such values of Theta,…

High Energy Physics - Theory · Physics 2010-02-03 Zachary Guralnik , Jan Troost

In some recent papers it is claimed that the physical significance of the vacuum angle theta for QCD-like theories depends on the chosen gauge condition. We criticise the arguments that were given in support of this claim, and show by…

High Energy Physics - Theory · Physics 2009-10-31 Christoph Adam

In this part of the series I discuss the five-vector generalizations of affine connection and gauge fields. I also give definition to the exterior derivative of nonscalar-valued five-vector forms and consider the five-vector analogs of the…

Mathematical Physics · Physics 2007-05-23 Alexander Krasulin

We study the possible mixings between gauge vector fields and scalar fields through their self-energies, arising in models with two Higgs doublets. We derive the relevant set of Schwinger-Dyson equations and the Ward identities that compel…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michel Capdequi Peyranere

Gauge invariance in discrete dynamical systems and its connection with quantization are considered. For a complete description of gauge symmetries of a system we construct explicitly a class of groups unifying in a natural way the space and…

Mathematical Physics · Physics 2015-05-13 Vladimir V. Kornyak

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…

High Energy Physics - Theory · Physics 2011-02-01 F. Ardalan , N. Sadooghi

The behavior of nonperturbative parts of the isovector-vector and isovector and isosinglet axial-vector correlators at Euclidean momenta is studied in the framework of a covariant chiral quark model with nonlocal quark-quark interactions.…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. E. Dorokhov , W. Broniowski

Consistent interactions that can be added to a two-dimensional, free abelian gauge theory comprising a special class of BF-type models and a collection of vector fields are constructed from the deformation of the solution to the master…

High Energy Physics - Theory · Physics 2007-05-23 E. M. Cioroianu , S. C. Sararu

An $\alpha$-parameter representation is derived for gauge field theories.It involves, relative to a scalar field theory, only constants and derivatives with respect to the $\alpha$-parameters. Simple rules are given to obtain the…

High Energy Physics - Theory · Physics 2009-10-31 Richard Hong Tuan

Infrared divergences in the perturbative expansion of gauge theory amplitudes and cross sections have been a focus of theoretical investigations for almost a century. New insights still continue to emerge, as higher perturbative orders are…

High Energy Physics - Phenomenology · Physics 2021-12-16 Neelima Agarwal , Lorenzo Magnea , Chiara Signorile-Signorile , Anurag Tripathi

We study chiral operators in four-dimensional N=2 supersymmetric gauge theories. We provide a general procedure to derive the exact relations among the vacuum expectation values of chiral operators in the Omega-background using the…

High Energy Physics - Theory · Physics 2020-04-07 Saebyeok Jeong , Xinyu Zhang

We investigate analytic properties of string-integrated correlation functions and propagators with emphasis on their infrared behaviour. These are relevant in various models of quantum field theory with massless fields, including QED.

High Energy Physics - Theory · Physics 2022-04-12 Christian Gaß , Karl-Henning Rehren , Felix Tippner

In this paper we improve the existing order parameter for monopole condensation in gauge theory vacuum, making it gauge-invariant from scratch and free of the spurious infrared problems which plagued the old one. Computing the new parameter…

High Energy Physics - Lattice · Physics 2021-03-17 Adriano Di Giacomo

The problem of gauge symmetry in higher derivative Lagrangian systems is discussed from a Hamiltonian point of view. The number of independent gauge parameters is shown to be in general {\it{less}} than the number of independent primary…

High Energy Physics - Theory · Physics 2011-09-15 Rabin Banerjee , Pradip Mukherjee , Biswajit Paul

The current status of transport coefficients in relativistic field theories at high temperature is reviewed. I contrast weak coupling results obtained using kinetic theory/diagrammatic techniques with strong coupling results obtained using…

High Energy Physics - Lattice · Physics 2008-11-26 Gert Aarts

We consider the complex scalar field coupled to background NC U(1) YM and calculate the correlator of two gauge invariant composite operators. We show how the noncommutative gauge invariance is restored for higher correlators (though the…

High Energy Physics - Theory · Physics 2007-05-23 A. Solovyov