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Gauge-invariant quantum fields are constructed in an Abelian power-counting renormalizable gauge theory with both scalar, vector and fermionic matter content. This extends previous results already obtained for the gauge-invariant…

High Energy Physics - Theory · Physics 2024-10-08 Andrea Quadri

In this paper we put forward a systematic and unifying approach to construct gauge invariant composite fields out of connections. It relies on the existence in the theory of a group valued field with a prescribed gauge transformation. As an…

Mathematical Physics · Physics 2014-12-08 Cédric Fournel , Jordan François , Serge Lazzarini , Thierry Masson

This article is expository in nature, outlining some of the many still incompletely understood features of higher spin field theory. We are mainly considering higher spin gauge fields in their own right as free-standing theoretical…

High Energy Physics - Theory · Physics 2008-12-19 Anders K. H. Bengtsson

The Yang--Mills gradient flow and its extension to the fermion field provide a very general method to obtain renormalized observables in gauge theory. The method is applicable also with non-perturbative regularization such as lattice. The…

High Energy Physics - Lattice · Physics 2016-06-29 Hiroshi Suzuki

A strong coupling expansion around the non-trivial extremum of the Yang-Mills action will be described. It is shown that the developed formalism is the Gribov ambiguity free and each order of the developed perturbation theory is…

High Energy Physics - Theory · Physics 2012-07-24 J. Manjavidze

A framework for background independent open-string field theory is proposed. The approach involves using the BV formalism -- in a way suggested by recent developments in closed-string field theory -- to implicitly define a gauge invariant…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

Threshold effects related to fermion masses are considered for an all-order beta-function based on a background field momentum subtraction scheme. Far away from all thresholds, the suggested beta-function reduces to the conjectured…

High Energy Physics - Theory · Physics 2009-10-29 Dennis D. Dietrich

When an antisymmetric tensor potential is coupled to the field strength of a gauge field via a $B\wedge F$ coupling and a kinetic term for $B$ is included, the gauge field develops an effective mass. The theory can be made invariant under a…

High Energy Physics - Phenomenology · Physics 2016-08-24 Amitabha Lahiri

The generalized version of a lower dimensional model where vector and axial vector interaction get mixed up with different weight is considered. The bosonized version of which does not posses the local gauge symmetry. An attempt has been…

High Energy Physics - Theory · Physics 2016-11-22 Anisur Rahaman , Safia Yasmin

Gauge field theory is developed in the framework of scale relativity. In this theory, space-time is described as a non-differentiable continuum, which implies it is fractal, i.e., explicitly dependent on internal scale variables. Owing to…

High Energy Physics - Theory · Physics 2009-11-11 Laurent Nottale , Marie-Noëlle Célérier , Thierry Lehner

Four dimensional Yang-Mills theory formulated through an action on twistor space has a larger gauge symmetry than the usual formulation, which in previous work was shown to allow a simple gauge transformation between text-book perturbation…

High Energy Physics - Theory · Physics 2008-11-26 Rutger Boels

We show that the requirement that a SU(N) Yang-Mills action (gauge fixed in a linear covariant gauge) is invariant under both the Becchi-Rouet-Stora-Tyutin (BRST) symmetry as well as the corresponding antiBRST symmetry, automatically…

High Energy Physics - Theory · Physics 2013-11-13 D. Binosi , A. Quadri

The possibility of having a gauge fixing term in the effective Lagrangian that is not a quadratic expression has been explored in spin-two theories so as to have a propagator that is both traceless and transverse. We first show how this…

High Energy Physics - Theory · Physics 2014-11-18 F. T. Brandt , D. G. C. McKeon

In light of the recently established BRST invariant formulation of the Gribov-Zwanziger theory, we show that Zwanziger's horizon function displays a universal character. More precisely, the correlation functions of local BRST invariant…

High Energy Physics - Theory · Physics 2018-04-02 M. A. L. Capri , D. Dudal , M. S. Guimaraes , A. D. Pereira , B. W. Mintz , L. F. Palhares , S. P. Sorella

The dynamics of abelian vector and antisymmetric tensor gauge fields can be described in terms of twisted self-duality equations. These first-order equations relate the p-form fields to their dual forms by demanding that their respective…

High Energy Physics - Theory · Physics 2015-05-28 Henning Samtleben

We show that the Green's functions in non-linear gauge in the theory of perturbative quantum gravity is expressed as a series in terms of those in linear gauges. This formulation is also holds for operator Green's functions. We further…

High Energy Physics - Theory · Physics 2015-07-22 Sudhaker Upadhyay , Bhabani Prasad Mandal

The dependence of the effective action for gauge theories on the background field obeys an exact identity. We argue that for Abelian theories the Ward identity follows from the more general background field identity. This observation is…

High Energy Physics - Theory · Physics 2009-10-30 F. Freire , C. Wetterich

Discretized nonabelian gauge theories living on finite group spaces G are defined by means of a geometric action \int Tr F \wedge *F. This technique is extended to obtain discrete versions of the Born-Infeld action. The discretizations are…

High Energy Physics - Theory · Physics 2009-11-07 P. Aschieri , L. Castellani , A. P. Isaev

The Gribov problem in the presence of a background field is analyzed: in particular, we study the Gribov copies equation in the Landau-De Witt gauge as well as the semi-classical Gribov gap equation. As background field, we choose the…

High Energy Physics - Theory · Physics 2017-03-14 Fabrizio Canfora , Diego Hidalgo , Pablo Pais

Application of the background-field method to QCD and the electroweak Standard Model yields gauge-invariant effective actions giving rise to simple Ward identities. Within this method, we calculate the quantities that have been treated in…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Denner , S. Dittmaier , G. Weiglein