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For lambda phi^4 models, the introduction of a large field cutoff improves significantly the accuracy that can be reached with perturbative series but the calculation of the modified coefficients remains a challenging problem. We show that…

High Energy Physics - Theory · Physics 2007-05-23 L. Li , Y. Meurice

We consider, in the harmonic superspace approach, the six-dimensional N=(1,0) supersymmetric model of abelian gauge multiplet coupled to a hypermultiplet. The superficial degree of divergence is evaluated and the structure of possible…

High Energy Physics - Theory · Physics 2016-12-21 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

The real time evolution of quantum field theory models can be calculated order by order in perturbation theory. For $\lambda \phi^4$ models, the perturbative series have a zero radius of convergence which in part motivated the design of…

Quantum Physics · Physics 2023-03-13 Robert Maxton , Yannick Meurice

Schwinger's formalism in quantum field theory can be easily implemented in the case of scalar theories in $D$ dimension with exponential interactions, such as $\mu^D\exp(\alpha\phi)$. In particular, we use the relation $$…

High Energy Physics - Theory · Physics 2016-03-23 Marco Matone

Recently it was shown that the scaling dimension of the operator $\phi^n$ in $\lambda(\phi^*\phi)^2$ theory may be computed semi-classically at the Wilson-Fisher fixed point in $d=4-\epsilon$, for generic values of $\lambda n$ and this was…

High Energy Physics - Theory · Physics 2021-05-05 I. Jack , D. R. T Jones

We perform a detailed analysis of renormalization at one-loop order in the $\lambda\phi^4$ theory with Robin boundary condition (characterized by a constant $c$) on a single plate at $z=0$. For arbitrary $c\geq0$ the renormalized theory is…

High Energy Physics - Theory · Physics 2007-05-23 Luiz C de Albuquerque

For one and two dimensional field theory orbifolds we compute in the DR scheme the full dependence on the momentum scale (q) of the one-loop radiative corrections to the 4D gauge coupling. Imposing a discrete "shift" symmetry of summing the…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. M. Ghilencea

We consider an infrared truncated massive minimally coupled scalar field with a quartic self-interaction in the locally de Sitter background of an inflating universe. We compute the two-point correlation function of the scalar and the mean…

General Relativity and Quantum Cosmology · Physics 2018-06-27 G. Karakaya , V. K. Onemli

We consider the out-of-equilibrium evolution of a classical condensate field $\phi=<\Phi>$ and its quantum fluctuations for a $\Phi^4$ model in 1+1 dimensions with a double well potential. We use the two-particle point-irreducible (2PPI)…

High Energy Physics - Phenomenology · Physics 2016-09-06 Jurgen Baacke , Andreas Heinen

We discuss a simple procedure for computing one-loop quantum energies of any static field configuration that depends non-trivially on only a single spatial coordinate. We specifically focus on domain wall-type field configurations that…

High Energy Physics - Theory · Physics 2009-10-31 Andrei Parnachev , Laurence G. Yaffe

The effects of quantum corrections to a conformally invariant scalar field theory on a curved manifold of positive constant curvature with boundary are considered in the context of a renormalisation procedure. The renormalisation of the…

High Energy Physics - Theory · Physics 2014-11-18 George Tsoupros

We study a non-commutative non-relativistic scalar field theory in 2+1 dimensions. The theory shows the UV/IR mixing typical of QFT on non-commutative spaces. The one-loop correction to the two-point function turns out to be given by a…

High Energy Physics - Theory · Physics 2009-10-31 Joaquim Gomis , Karl Landsteiner , Esperanza Lopez

We perform a complete one-loop renormalization analysis of CPT-odd Lorentz-violating scalar quantum chromodynamics with adjoint scalar matter. Working to first order in the preferred background vector and treating the corresponding…

High Energy Physics - Theory · Physics 2026-05-04 J. C. C. Felipe , L. C. T. Brito , A. C. Lehum , B. Altschul , A. Yu. Petrov

Our understanding of quantum gravity suggests that at the Planck scale the usual geometry loses its meaning. If so, the quest for grand unification in a large non-abelian group naturally endowed with the property of asymptotic freedom may…

High Energy Physics - Theory · Physics 2013-07-10 A. A. Andrianov , D. Espriu , M. A. Kurkov , F. Lizzi

In this work we consider the one-loop effective action of a self-interacting $\lambda\phi^{4}$ field propagating in a $D$ dimensional Euclidean space endowed with $d\leq D$ compact dimensions. The main purpose of this paper is to compute…

High Energy Physics - Theory · Physics 2018-03-13 Guglielmo Fucci , Klaus Kirsten

Attempts to use coarse-grained molecular theories to calculate corrections to the random-phase approximation (RPA) for correlations in polymer mixtures have been plagued by an unwanted sensitivity to the value of an arbitrary cutoff length,…

Soft Condensed Matter · Physics 2009-11-13 Piotr Grzywacz , Jian Qin , David C. Morse

We obtain the primitively divergent diagrams in $\kappa$-deformed scalar field in four-dimensional spacetime with quartic self-interaction in order to investigate the effect of the fundamental length $q=1/(2\kappa)$ on such diagrams. Thanks…

High Energy Physics - Theory · Physics 2010-04-08 M. J. Neves , C. A. A. de Carvalho , C. Farina , M. V. Cougo-Pinto

We study a self-interacting scalar $\varphi^4$ theory on the $d$-dimensional noncommutative torus. We determine, for the particular cases $d=2$ and $d=4$, the counterterms required by one-loop renormalization. We discuss higher loops in two…

High Energy Physics - Theory · Physics 2016-05-04 D. D'Ascanio , P. Pisani , D. V. Vassilevich

We consider a theory of scalar and spinor fields, interacting through Yukawa and phi^4 interactions, with Lorentz-violating operators included in the Lagrangian. We compute the leading quantum corrections in this theory. The…

High Energy Physics - Theory · Physics 2012-02-28 Alejandro Ferrero , Brett Altschul

When a nonrelativistic particle interacts with a scalar quantum field, the standard perturbation theory leads to a dependence of the energy of its ground state on an undefined parameter---"momentum cutoff"---due to the ultraviolet…

Quantum Physics · Physics 2016-01-13 O. D. Skoromnik , I. D. Feranchuk , D. V. Lu , C. H. Keitel