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Standard superspace Feynman diagram rules give one estimate of the onset of ultraviolet divergences in supergravity and super Yang-Mills theories. Newer techniques motivated by string theory but which also make essential use of unitarity…

High Energy Physics - Theory · Physics 2007-05-23 K. S. Stelle

The explicit one-loop renormalizability of pure Yang-Mills theory with Lorentz violation is demonstrated. The result is consistent with multiplicative renormalization as the required counter terms are consistent with a single re-scaling of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Don Colladay , Patrick McDonald

The renormalization of higher-dimensional operators in quantum field theory is essential for phenomenological analyses in particle physics, and plays a significant role in the study of critical phenomena. We present a framework for…

High Energy Physics - Phenomenology · Physics 2025-12-10 Guilherme Guedes , Jasper Roosmale Nepveu

We exhibit the gauge-group independence (``universality'') of all normalized non-intersecting Wilson loop expectation values in the large N limit of two-dimensional Yang-Mills theory. This universality is most easily understood via the…

High Energy Physics - Theory · Physics 2016-09-06 M. Crescimanno , S. Naculich , H. J. Schnitzer

We discuss the renormalization group in the context of gravitational theories with independent metric and affine connection. Considering a class of theories with both propagating torsion and nonmetricity, we perform an explicit computation…

High Energy Physics - Theory · Physics 2024-06-21 Oleg Melichev

We compute here the Yang-Mills effective action on Moyal space by integrating over the scalar fields in a noncommutative scalar field theory with harmonic term, minimally coupled to an external gauge potential. We also explain the special…

High Energy Physics - Theory · Physics 2008-12-11 Axel de Goursac

Quantization of two-dimensional Yang-Mills theory on a torus in the gauge where the field strength is diagonal leads to twisted sectors that are completely analogous to the ones that originate long string states in Matrix String Theory. If…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , M. Caselle , A. D'Adda , P. Provero

This paper is a brief review of background field method and some of its applications in N=2 super Yang-Mills theories with a matter within harmonic superspace approach. A general structure of effective action is discussed, an absence of…

High Energy Physics - Theory · Physics 2009-09-25 I. L. Buchbinder , B. A. Ovrut

Using methods of microlocal analysis, we prove that the regularization of divergent amplitudes stays a pure ultraviolet problem in string-localized field theories, despite the weaker localization. Thus, power counting does not lose its…

Mathematical Physics · Physics 2022-05-13 Christian Gaß

It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism. Application of this formalism to formulate…

High Energy Physics - Theory · Physics 2019-05-01 Peter M. Lavrov

We consider two-dimensional Yang-Mills theories on arbitrary Riemann surfaces. We introduce a generalized Yang-Mills action, which coincides with the ordinary one on flat surfaces but differs from it in its coupling to two-dimensional…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , M. Caselle , A. D'adda , P. Provero

We continue the development of a systematic procedure for deriving closed string pp wave string field theory from the large N Berenstein-Maldacena-Nastase limit. In the present paper the effects of the Yang-Mills interaction are considered…

High Energy Physics - Theory · Physics 2009-11-10 Robert de Mello Koch , Aristomenis Donos , Antal Jevicki , Joao P. Rodrigues

Second order corrections to the perturbative ground state wave functional and vacuum energy of a Yang-Mills theory are calculated in the temporal gauge. Using dimensional regularization, the concepts of renormalization and a running…

High Energy Physics - Theory · Physics 2017-01-19 Scott Chapman

A simplified proof of a theorem by Joglekar and Lee on the renormalization of local gauge invariant operators in Yang-Mills theory is given. It is based on (i) general properties of the antifield-antibracket formalism; and (ii)…

High Energy Physics - Theory · Physics 2009-10-22 M. Henneaux

We compute one-loop amplitudes in six-dimensional Yang-Mills theory with half-maximal supersymmetry from first principles: imposing gauge invariance and locality on an ansatz made from string-theory inspired kinematic building blocks yields…

High Energy Physics - Theory · Physics 2017-09-13 Marcus Berg , Igor Buchberger , Oliver Schlotterer

In the paper we study the Yang-Mills effective action in the four-dimensional space-time by using background field formalism. We give an explicit way of cutoff regularization procedure, then do a two-loop renormalization and calculate a…

High Energy Physics - Theory · Physics 2024-10-29 A. V. Ivanov , N. V. Kharuk

For a generic gauge-invariant correlator <{\cal Q}[A_{\mu}]>_{A}, we reformulate the standard D=4 Yang-Mills theory as a renormalizable system of two interacting fields a_{\mu} and B_{\mu} which faithfully represent high- and low-energy…

High Energy Physics - Theory · Physics 2007-06-28 A. Yu. Dubin

New clues for the best understanding of the nature of the symmetry-breaking mechanism are revealed in this paper. A revision of the standard gauge transformation properties of Yang-Mills fields, according to a group approach to quantization…

High Energy Physics - Theory · Physics 2008-11-26 M. Calixto , V. Aldaya

String theory gives a well defined procedure for computing the S-matrix of BPS or a class of massless states, but similar calculation for general massive states is plagued with difficulties due to mass renormalization effect. In this paper…

High Energy Physics - Theory · Physics 2015-06-17 Roji Pius , Arnab Rudra , Ashoke Sen

Using the background field method for the functional renormalization group approach in the case of a generic gauge theory, we study the background field symmetry and gauge dependence of the background average effective action, when the…

High Energy Physics - Theory · Physics 2019-08-23 Peter M. Lavrov , Eduardo Antonio dos Reis , Tibério de Paula Netto , Ilya L. Shapiro