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The complete renormalization procedure of a general N=1 supersymmetric gauge theory in the Wess-Zumino gauge is presented, using the regulator free ``algebraic renormalization'' procedure. Both gauge invariance and supersymmetry are…

High Energy Physics - Theory · Physics 2016-08-24 Nicola Maggiore , Olivier Piguet , Sylvain Wolf

The principle of local gauge invariance is applied to fractional wave equations and the interaction term is determined up to order $o(\bar{g})$ in the coupling constant $\bar{g}$. As a first application, based on the Riemann-Liouville…

Mathematical Physics · Physics 2008-11-26 Richard Herrmann

The strictly gauge invariant approach to the construction of the analog of guiding center integrals of motion in spatially homogeneous/inhomogeneous constant magnetic fields is considered. With their help the gauge invariant equations,…

Mesoscale and Nanoscale Physics · Physics 2023-01-30 E. L. Rumyantsev , A. V. Germanenko

We apply the supplementation trick [26] to the Green-Schwarz superstring. For type IIB theory both first and second class constraints are covariantly separated and then arranged into irreducible sets in the initial formulation. For N=1…

High Energy Physics - Theory · Physics 2009-11-07 A. A. Deriglazov

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

We study a model of fermions interacting with a gauge field and calculate gauge-invariant two-particle Green's functions or response functions. The leading singular contributions from the self-energy correction are found to be cancelled by…

Condensed Matter · Physics 2009-10-22 Yong Baek Kim , Akira Furusaki , Xiao-Gang Wen , Patrick A. Lee

We study a reduction of deformation parameters in non(anti)commutative N=2 harmonic superspace to those in non(anti)commutative N=1 superspace. By this reduction we obtain the exact gauge and supersymmetry transformations in the Wess-Zumino…

High Energy Physics - Theory · Physics 2009-11-11 Takeo Araki , Katsushi Ito , Akihisa Ohtsuka

The Wess-Zumino model on N=1/2 nonanticommutative superspace, which contains the dimension-6 term F^3, is shown to be renormalizable to all orders in perturbation theory, upon adding F and F^2 terms to the original Lagrangian. The…

High Energy Physics - Theory · Physics 2009-11-10 Ruth Britto , Bo Feng

In this talk the gauge symmetry for Wilsonian flows in pure Yang-Mills theories is discussed. The background field formalism is used for the construction of a gauge invariant effective action. The symmetries of the effective action under…

High Energy Physics - Theory · Physics 2009-11-07 F. Freire , D. F. Litim , J. M. Pawlowski

We argue that some features of the standard model, in particular the fermion assignment and symmetry breaking, can be obtained in matrix model which describes noncommutative gauge theory as well as gravity in an emergent way. The mechanism…

High Energy Physics - Theory · Physics 2015-05-18 Harald Grosse , Fedele Lizzi , Harold Steinacker

The Feynman amplitudes with the two-dimensional Wess-Zumino action functional have a geometric interpretation as bundle gerbe holonomy. We present details of the construction of a distinguished square root of such holonomy and of a related…

Mathematical Physics · Physics 2017-08-23 Krzysztof Gawedzki

One of the necessary steps in constructing high precision option of KKMC was to install the double bremsstrahlung matrix element for the process e+ e- to nu_e bar nu_e into the scheme of Coherent Exclusive Exponentiation. The process is…

High Energy Physics - Phenomenology · Physics 2009-01-07 Z. Was

We construct an interaction between a (2,0) tensor multiplet in six dimensions and a self-dual string. The interaction is a sum of a Nambu-Goto term, with the tension of the string given by the modulus of the scalar fields of the tensor…

High Energy Physics - Theory · Physics 2009-11-10 Par Arvidsson , Erik Flink , Mans Henningson

We consider possible discretizations for a gauge-fixed Green-Schwarz action of Type IIB superstring. We use them for measuring the action, from which we extract the cusp anomalous dimension of planar $\mathcal{N}=4$ SYM as derived from…

High Energy Physics - Theory · Physics 2016-07-20 Lorenzo Bianchi , Marco S. Bianchi , Valentina Forini , Björn Leder , Edoardo Vescovi

The variational approach to QCD in Coulomb gauge is revisited. By assuming the non-Abelian Coulomb potential to be given by the sum of its infrared and ultraviolet parts, i.e.~by a linearly rising potential and an ordinary Coulomb…

High Energy Physics - Phenomenology · Physics 2016-10-26 Davide R. Campagnari , Ehsan Ebadati , Hugo Reinhardt , Peter Vastag

In earlier papers on the loop variable approach to gauge invariant interactions in string theory, a ``wave functional'' with some specific properties was invoked. It had the purpose of converting the generalized momenta to space time…

High Energy Physics - Theory · Physics 2016-09-06 B. Sathiapalan

It has long been appreciated that superalgebras with bosonic and fermionic generators additional to those in the super-Poincare algebra underlie p-brane and D-brane actions in superstring theory. These algebras have been revealed via…

High Energy Physics - Theory · Physics 2018-03-14 D. T. Grasso , I. N. McArthur

We construct off-shell amplitudes in heterotic and type II string theories involving arbitrary combination of Ramond and Neveu-Schwarz sector external states. We also construct the equations of motion of a gauge invariant 1PI effective…

High Energy Physics - Theory · Physics 2015-09-02 Ashoke Sen

A review of the construction of a Weyl-invariant spinning-membrane action that is $polynomial$ in the fields, without a cosmological constant term, comprised of quadratic and quartic-derivative terms, and where supersymmetry is linearly…

High Energy Physics - Theory · Physics 2009-11-07 Carlos Castro

In a previous paper hep-th/0410182 we constructed wave functions and vertex operators for massless supergravity fields in type IIB matrix model by expanding supersymmetric Wilson line operators. In this paper we consider fermionic…

High Energy Physics - Theory · Physics 2009-11-11 Satoshi Iso , Fumihiko Sugino , Hidenori Terachi , Hiroshi Umetsu