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We identify an unusual new gauge-gravity relation: the one-loop effective action for a massive spinor in 2n dimensional AdS space is expressed in terms of precisely the same function [a certain multiple gamma function] as the one-loop…

High Energy Physics - Theory · Physics 2010-04-23 Gokce Basar , Gerald V. Dunne

We propose a gauge invariant formulation of the effective potential in terms of a gauge invariant order parameter, for the Abelian Higgs model. The one-loop contribution at zero and finite temperature is computed explicitly, and the leading…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Boyanovsky , D. Brahm , R. Holman , D. -S. Lee

The Gaussian Effective Potential in a fixed transverse unitarity gauge is studied for the static three-dimensional U(1) scalar electrodynamics (Ginzburg-Landau phenomenological theory of superconductivity). In the broken-symmetry phase the…

Superconductivity · Physics 2007-05-23 M. Camarda , G. G. N. Angilella , R. Pucci , F. Siringo

We study the one-loop effective action for $6D,$ ${\cal N}=(1,0)$ supersymmetric Yang--Mills (SYM) theory with hypermultiplets and $6D,$ ${\cal N}=(1,1)$ SYM theory as a subclass of the former, using the off-shell formulation of these…

High Energy Physics - Theory · Physics 2017-06-28 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of $6D$, ${\cal N}=(1,0)$ supersymmetric higher-derivative gauge theory with a dimensionless coupling constant. Our consideration…

High Energy Physics - Theory · Physics 2020-08-05 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

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

We explicitly calculate the one-loop effective potential for a higher-derivative four-dimensional chiral superfield theory with a nonconventional kinetic term. We consider the cases of minimal and nonminimal general Lagrangians. In…

High Energy Physics - Theory · Physics 2014-05-15 F. S. Gama , M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We study exact effective superpotentials of four-dimensional {\cal N} = 2 supersymmetric gauge theories with gauge group U(N) and various amounts of fundamental matter on R^3 x S^1, broken to {\cal N} = 1 by turning on a classical…

High Energy Physics - Theory · Physics 2009-11-10 Rutger Boels , Jan de Boer

We calculate explicitly the one-loop effective potential in different Lorentz-breaking field theory models. First, we consider a Yukawa-like theory and, then, some examples of Lorentz-violating extensions of scalar QED. We observed, for the…

High Energy Physics - Theory · Physics 2018-01-17 A. P. Baeta Scarpelli , L. C. T. Brito , J. C. C. Felipe , J. R. Nascimento , A. Yu. Petrov

Within the superfield approach, we formulate two different extensions of the Wess-Zumino model and super-QED with Horava-Lifshitz-like additive terms, discuss their quantum properties and calculate lower contributions to the effective…

High Energy Physics - Theory · Physics 2014-12-25 M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

The well-established effective action and effective potential framework from the quantum field theory domain is adapted and successfully applied to classical field theories of the Doi and Peliti type for diffusion controlled reactions.…

Statistical Mechanics · Physics 2008-11-26 David Hochberg , M. -P. Zorzano

Using N=1 superspace techniques in four dimensions we show how to perturbatively compute the superpotential generated for the glueball superfield upon integrating out massive charged fields. The technique applies to arbitrary gauge groups…

High Energy Physics - Theory · Physics 2010-12-03 R. Dijkgraaf , M. T. Grisaru , C. S. Lam , C. Vafa , D. Zanon

We argue that for a large class of N=1 supersymmetric gauge theories the effective superpotential as a function of the glueball chiral superfield is exactly given by a summation of planar diagrams of the same gauge theory. This perturbative…

High Energy Physics - Theory · Physics 2007-05-23 Robbert Dijkgraaf , Cumrun Vafa

We obtain the one-loop quantum corrections to the K\"ahlerian and superpotentials in the generic chiral superfield model on the nonanticommutative superspace. Unlike all previous works, we use a method which does not require to rewrite a…

High Energy Physics - Theory · Physics 2008-11-26 O. D. Azorkina , A. T. Banin , I. L. Buchbinder , N. G. Pletnev

The one-loop effective potential is a powerful tool in studying the electroweak symmetry breaking of supersymmetric theories, whose precise calculation may have important phenomenological consequences. In this work, we are correctly…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Argyrou , A. Katsikatsou , I. Malamos

We study the low-energy effective actions for gauge superfields induced by quantum N=2 and N=4 supersymmetric matter fields in three-dimensional Minkowski space. Analyzing the superconformal invariants in the N=2 superspace we propose a…

High Energy Physics - Theory · Physics 2014-11-20 I. L. Buchbinder , N. G. Pletnev , I. B. Samsonov

We study Monte Carlo calculations of the effective potential for a scalar field theory using three techniques. One of these is a new method proposed and tested for the first time. In each case we extract the renormalised quantities of the…

High Energy Physics - Lattice · Physics 2010-03-04 A. Ardekani , A. G. Williams

By using superfield techniques, the effective potential of the $\mathcal{N}=1$ Wess-Zumino model in 2+1 dimensions is computed off-shell up to two loops. It is shown that supersymmetry is not dynamically broken, and that dynamical…

High Energy Physics - Theory · Physics 2013-02-22 R. V. Maluf , A. J. da Silva

By computing the two-loop effective potential of the D=3 N=1 supersymmetric Chern-Simons model minimally coupled to a massless self-interacting matter superfield, it is shown that supersymmetry is preserved, while the internal U(1) and the…

High Energy Physics - Theory · Physics 2012-06-20 E. A. Gallegos , A. J. da Silva

Using the method of the effective potential of quantum field theory, we compute the quantum corrections to the phase diagram of systems with competing order parameters. This is specially useful to study metallic systems with competing…

Strongly Correlated Electrons · Physics 2019-11-11 Nei Lopes , Mucio A. Continentino , Daniel G. Barci