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In this paper we explicitly evaluate the one-loop effective action in four dimensions for scalar and spinor fields under the influence of a strong, covariantly constant, magnetic field in curved spacetime. In the framework of zeta function…

High Energy Physics - Theory · Physics 2009-10-02 Guglielmo Fucci

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

We use zeta function techniques to give a finite definition for the Casimir energy of an arbitrary ultrastatic spacetime with or without boundaries. We find that the Casimir energy is intimately related to, but not identical to, the…

High Energy Physics - Theory · Physics 2010-11-01 Steven K. Blau , Matt Visser , Andreas Wipf

In this work, we put forward a straightforward and simple approach to construct the low-energy effective field theory (EFT) from a given ultraviolet (UV) full theory by integrating heavy particles out. By calculating the on-shell…

High Energy Physics - Phenomenology · Physics 2023-09-21 Xu Li , Shun Zhou

We perform a systematic analysis of the one-loop effective potential of pure $d=5$ supergravities, with supersymmetry fully broken by a Scherk-Schwarz compactification on the circle, as a function of the radial modulus. We discuss the…

High Energy Physics - Theory · Physics 2024-07-22 Gianguido Dall'Agata , Fabio Zwirner

By imposing the weighted renormalization condition and the (super)symmetry requirements, we construct a Lifshitz-like extension of the three-dimensional Wess-Zumino model, with dynamical critical exponent z=2. In this context, the auxiliary…

High Energy Physics - Theory · Physics 2019-06-26 E. A. Gallegos

We present a theoretical analysis of the one-loop effective potential of a self-interacting real scalar field in the presence of two parallel conducting plates with geometric roughness. Using WKB methods to evaluate the spectral density of…

High Energy Physics - Theory · Physics 2026-04-17 Claudio Bórquez , Byron Droguett

The perturbative effective potential V in the massless $\lambda\phi^4$ model with a global O(N) symmetry is uniquely determined to all orders by the renormalization group functions alone when the Coleman-Weinberg renormalization condition…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. A. Chishtie , T. Hanif , D. G. C. McKeon , T. G. Steele

The five-loop effective potential and the associated summation of subleading logarithms for O(4) globally-symmetric massless $\lambda\phi^4$ field theory in the Coleman-Weinberg renormalization scheme $\frac{d^4V}{d\phi^4}|_{\phi = \mu} =…

High Energy Physics - Phenomenology · Physics 2009-11-13 F. A. Chishtie , D. G. C. McKeon , T. G. Steele

The three-loop effective potential of the massless O(N) $\phi^4$ theory is calculated analytically using techniques of dimensional regularization. We see a complete agreement between our result and Jackiw's result obtained only up to…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. -M. Chung , B. K. Chung

Motivated by the study of quantum fields in a Friedman-Robertson-Walker (FRW) spacetime, the one-loop effective action for a scalar field defined in the ultrastatic manifold $R\times H^3/\Gamma$, $H^3/\Gamma$ being the finite volume,…

High Energy Physics - Theory · Physics 2009-11-10 Guido Cognola , Sergio Zerbini

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 the one-loop Coleman-Weinberg effective potential, we derive a general analytic expression for all the derivatives of the effective potential with respect to any number of classical scalar fields. The result is valid for a…

High Energy Physics - Phenomenology · Physics 2016-07-29 José Eliel Camargo-Molina , António P. Morais , Roman Pasechnik , Marco O. P. Sampaio , Jonas Wessén

We explicitly compute the one-loop exact beta function for a nonlocal extension of the standard gauge theory, in particular Yang-Mills and QED. The theory, made of a weakly nonlocal kinetic term and a local potential of the gauge field, is…

High Energy Physics - Theory · Physics 2016-08-03 Leonardo Modesto , Marco Piva , Leslaw Rachwal

In order to investigate the Higgs mechanism nonperturbatively, we compute the Gaussian effective potential (GEP) of the U(1) Higgs model ("scalar electrodynamics"). We show that the same simple result is obtained in three different…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Ibanez-Meier , I. Stancu , P. M. Stevenson

We apply the covariant derivative expansion of the Coleman-Weinberg potential to the sfermion sector in the minimal supersymmetric standard model, matching it to the relevant dimension-6 operators in the standard model effective field…

High Energy Physics - Phenomenology · Physics 2018-04-25 Ran Huo

We review the basic notions of compactification in the presence of a background flux. In extra-dimentional models with more than five dimensions, Scherk and Schwarz boundary conditions have to satisfy 't Hooft consistency conditions.…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. F. Faedo , D. Hernandez , S. Rigolin , M. Salvatori

We have computed the self-energies and a set of three-particle vertex functions for massless QCD at the four-loop level in the MSbar renormalization scheme. The vertex functions are evaluated at points where one of the momenta vanishes.…

High Energy Physics - Phenomenology · Physics 2017-06-28 B. Ruijl , T. Ueda , J. A. M. Vermaseren , A. Vogt

We perform a supergraph computation of the effective Kaehler potential at one and two loops for general four dimensional N=1 supersymmetric theories described by arbitrary Kaehler potential, superpotential and gauge kinetic function. We…

High Energy Physics - Theory · Physics 2011-10-11 Stefan Groot Nibbelink , Tino S. Nyawelo

We study the UV properties, and derive the explicit form of the one-loop effective action, for a noncommutative complex scalar field theory in 2+1 dimensions with a Grosse-Wulkenhaar term, at the self-dual point. We also consider quantum…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , G. A. Moreno