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Combining the effect of an intermediate renormalization prescription (zero momentum subtraction) and the background field method (BFM), we show that the algebraic renormalization procedure needed for the computation of radiative corrections…

High Energy Physics - Phenomenology · Physics 2009-11-07 P. A. Grassi , T. Hurth , M. Steinhauser

The aim of this paper is to give a firm and clear proof of the existence in the background field framework of a gauge invariant effective action for any gauge theory ({\it background gauge equivalence}). Here by effective action we mean a…

High Energy Physics - Theory · Physics 2008-11-26 Carlo Becchi , Renzo Collina

An effective field approximation, similar to the atomic Thomas-Fermi approach, is proposed for studying non-Abelian gauge theories which includes finite-volume effects. As applications of the formalism the equation of state for an SU(2)…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. D. Dixon , P. Kaus , J. Wudka

Renormalized fermion condensate in $SU(2)$ gauge theory has been calculated in the background of static, stable gauge field configuration using field strength formalism. It is observed that the condensate attains a negative, minimum value…

High Energy Physics - Phenomenology · Physics 2020-02-18 Rajdeep Basak , Krishnendu Mukherjee

We study symmetry restoration at finite temperature in the theory of a charged scalar field interacting with a constant, external magnetic field. We compute the finite temperature effective potential including the contribution from ring…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alejandro Ayala , Angel Sánchez , Gabriella Piccinelli , Sarira Sahu

The QED effective Lagrangian in the presence of an arbitrary constant electromagnetic background field at finite temperature is derived in the imaginary-time formalism to one-loop order. The boundary conditions in imaginary time reduce the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Holger Gies

Configuration space heat-kernel methods are used to evaluate the determinant and hence the effective action for an SU(2) doublet of fermions in interaction with a {\it covariantly constant} SU(2) background field. Exact results are…

High Energy Physics - Theory · Physics 2009-10-30 C. Mukku

We examine in non-Abelian gauge theory the heavy quark limit in the presence of the (anti-)self-dual homogeneous background field and see that a confining potential emerges, consistent with the Wilson criterion, although the potential is…

High Energy Physics - Theory · Physics 2009-10-31 G. V. Efimov , A. C. Kalloniatis , S. N. Nedelko

The vacuum dynamics of SU(2) and SU(3) lattice gauge theories is studied by means of a gauge-invariant effective action defined using the lattice Schr\"odinger functional at finite temperature. In the case of the SU(3) gauge theory…

High Energy Physics - Lattice · Physics 2007-05-23 P. Cea , L. Cosmai

The applicability of the background field method in spontaneously broken gauge theories is examined with new features emphasized. An explicit one loop analysis in the electroweak theory shows that the method can be consistently implemented…

High Energy Physics - Phenomenology · Physics 2009-09-25 Xiaoyuan Li , Yi Liao

We quantize non-commutative Maxwell theory canonically in the background field gauge for weak and slowly varying background fields. We determine the complete basis for expansion under such an approximation. As an application, we derive the…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , J. Frenkel , S. H. Pereira , J. C. Taylor

We investigate scalar and spinor field theories in a constant magnetic field at finite temperature and chemical potential. In an external constant magnetic field the exact solution of the two-point Green functions are obtained by using the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Tomohiro Inagaki , Daiji Kimura , Tsukasa Murata

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…

High Energy Physics - Lattice · Physics 2007-05-23 A. R. Levi

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

Finite temperature SU(2) lattice gauge theory is investigated in a 3D cubic box with fixed boundary conditions (b.c.) provided by a discretized, static BPS monopole solution with varying core scale ${\mu}$. For discrete ${\mu}$-values we…

High Energy Physics - Lattice · Physics 2009-10-31 E. -M. Ilgenfritz , S. V. Molodtsov , M. Müller-Preussker , A. I. Veselov

We propose a method based on the Schr\"odinger functional for computing on the lattice the gauge invariant effective action for external background fields. We check this method by studying the U(1) lattice gauge theory in presence of a…

High Energy Physics - Lattice · Physics 2009-10-28 Paolo Cea , Leonardo Cosmai

We develop the superfield background field method and study the effective action in the N=2, d3 supersymmetric Chern-Simons-matter systems. The one-loop low-energy effective action for non-Abelian supersymmetric Chern-Simons theory is…

High Energy Physics - Theory · Physics 2015-05-30 I. L. Buchbinder , N. G. Pletnev

Using the background field method, we, in the large $N_f$ approximation, calculate the beta function of scalar quantum electrodynamics at the first nontrivial order in $1/N_f$ by two different ways. In the first way, we get the result by…

High Energy Physics - Theory · Physics 2019-03-12 Zhi-Yuan Zheng , Gai-Ge Deng

We calculate the one-loop effective potential at finite temperature for a system of massless scalar fields with quartic interaction $\lambda\phi^4$ in the framework of the boundary effective theory (BET) formalism. The calculation relies on…

High Energy Physics - Phenomenology · Physics 2011-06-30 A. Bessa , C. A. A. de Carvalho , E. S. Fraga , F. Gelis

It is shown that the quantum SU(3) gauge theory can be approximately reduced to U(1) gauge theory with broken gauge symmetry and interacting with scalar fields. The scalar fields are some approximation for 2 and 4-points Green's functions…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vladimir Dzhunushaliev