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The one loop effective potential for a non-Abelian gauge configuration is analyzed using the background field method. The Savvidy result and the non-Abelian ansatz, the other alternative possible background that generates a constant color…

高能物理 - 格点 · 物理学 2007-05-23 A. R. Levi

We consider SU(2) gauge potentials over a space with a compactified dimension. A non-Abelian Fourier transform of the gauge potential in the compactified dimension is defined in such a way that the Fourier coefficients are (almost) gauge…

高能物理 - 理论 · 物理学 2009-11-07 Grigorii B. Pivovarov , James P. Vary

The concept of covariant coordinates on noncommutative spaces leads directly to gauge theories with generalized noncommutative gauge fields of the type that arises in string theory with background B-fields. The theory is naturally expressed…

高能物理 - 理论 · 物理学 2009-11-07 Branislav Jurco , Peter Schupp , Julius Wess

We suggest an infinite-dimensional extension of the gauge transformations which includes non-Abelian tensor gauge fields. Extended gauge transformations of non-Abelian tensor gauge fields form a new large group which has natural geometrical…

高能物理 - 理论 · 物理学 2009-09-20 G. Savvidy

We study, using the example of general covariance, to what extent a would-be non-abelian extension of free field abelian gauge theory can be helped by a field redefinition; answer - not much! However, models resulting from dimensional…

高能物理 - 理论 · 物理学 2019-10-18 S. Deser , K. S. Stelle

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…

高能物理 - 理论 · 物理学 2024-10-08 Andrea Quadri

The concept of gauge invariance can be considered one of the most subtle and useful concept in theoretical physics since it can permit the comprehension of difficult systems in physics with an arbitrary choice of a reference frame at every…

高能物理 - 理论 · 物理学 2010-01-19 E. M. C. Abreu , J. Ananias Neto , A. C. R. Mendes , C. Neves , W. Oliveira

We present a reformulation of gauge theories in terms of gauge invariant fields. Focusing on Abelian theories, we show that the gauge and matter covariant fields can be recombined to introduce new gauge invariant degrees of freedom.…

量子物理 · 物理学 2021-12-17 Pierpaolo Fontana , Joao C. Pinto Barros , Andrea Trombettoni

New method for construction of gauge-invariant deformed theory from an initial gauge theory proposed in our previous papers [1], [2] for closed/open gauge algebras is extended to the case of reducible gauge algebras. The deformation…

高能物理 - 理论 · 物理学 2022-05-16 P. M. Lavrov

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…

数学物理 · 物理学 2014-12-08 Cédric Fournel , Jordan François , Serge Lazzarini , Thierry Masson

Consistent interactions that can be added to a free, Abelian gauge theory comprising a collection of BF models and a set of three-form gauge fields are constructed from the deformation of the solution to the master equation based on…

高能物理 - 理论 · 物理学 2007-05-23 C. Bizdadea , E. M. Cioroianu , S. C. Sararu

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…

高能物理 - 理论 · 物理学 2009-11-11 Laurent Nottale , Marie-Noëlle Célérier , Thierry Lehner

This work studies the relationship between gauge-invariant and non gauge-invariant abelian vector models. Following a technique introduced by Harada and Tsutsui, we show that the Proca and the Chiral Schwinger models may both be viewed as…

高能物理 - 理论 · 物理学 2014-07-25 Gabriel Di Lemos Santiago Lima

A free differential algebra is generalization of a Lie algebra in which the mathematical structure is extended by including of new Maurer-Cartan equations for higher-degree differential forms. In this article, we propose a generalization of…

高能物理 - 理论 · 物理学 2021-10-27 S. Salgado

A novel inhomogeneous gauge transformation law is proposed for a non-Abelian adjoint two-form in four dimensions. Rules for constructing actions invariant under this are given. The auxiliary vector field which appears in some of these…

高能物理 - 理论 · 物理学 2009-11-07 Amitabha Lahiri

Consistent interactions that can be added to a free, Abelian gauge theory comprising a BF model and a finite set of massless real scalar fields are constructed from the deformation of the solution to the master equation based on specific…

高能物理 - 理论 · 物理学 2016-07-06 Constantin Bizdadea , Solange-Odile Saliu

Recently, we have proposed a new front-form quantization which treated both the $x^{+}$ and the $x^{-}$ coordinates as front-form 'times.' This quantization was found to preserve parity explicitly. In this paper we extend this construction…

高能物理 - 理论 · 物理学 2013-11-13 Ovid C. Jacob

In a recent paper, it was shown that in diffeomorphism-invariant theories, Noether charges associated with a given codimension-2 surface become integrable if one introduces an extended phase space. In this paper we extend the notion of…

高能物理 - 理论 · 物理学 2023-07-13 Marc S. Klinger , Robert G. Leigh , Pin-Chun Pai

A method for implementing non-Abelian duality on string backgrounds is given. It is shown that a direct generalisation of the familiar Abelian duality induces an extra local symmetry in the gauge invariant theory. The non-Abelian isometry…

高能物理 - 理论 · 物理学 2009-10-28 Noureddine Mohammedi

Two main themes populate this Thesis's pages: transgression forms as Lagrangians for gauge theories and the Abelian semigroup expansion of Lie algebras. A transgression form is a function of two gauge connections whose main property is its…

高能物理 - 理论 · 物理学 2008-01-22 Eduardo Rodríguez
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