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In this paper we calculate the leading divergences of the effective potential for an arbitrary scalar theory on a curved spacetime background. Based on the recurrence relation between the leading poles following from the locality condition,…

High Energy Physics - Theory · Physics 2025-07-21 V. A. Filippov , R. M. Iakhibbaev , D. M. Tolkachev

We explicitly calculate the one-loop effective potential for the supersymmetric topologically massive gauge theory in four dimensions, where the chiral scalar superfield is directly coupled to the field strength for the gauge spinor…

High Energy Physics - Theory · Physics 2015-04-08 F. S. Gama , M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

The effective potential of scalar QED is computed analytically up to two loops in the Landau gauge. The result is given in 4-epsilon dimensions using minimal subtraction and epsilon-expansions. In three dimensions, our calculation is…

Condensed Matter · Physics 2011-08-17 H. Kleinert , B. Van den Bossche

We have extended the variational perturbative theory based on the back ground field method to include the optimized expansion of Okopinska and the post Gaussian effective potential of Stansu and Stevenson. This new method provides much…

High Energy Physics - Theory · Physics 2009-11-07 A. Rakhimov , Jae Hyung Yee

We calculate the quantum effective action for a scalar field which has been recently used for a specific kind of symmetry breaking in gravity. Our study consists of calculating the 1-loop path integral of canonical momentum and determining…

High Energy Physics - Theory · Physics 2014-03-04 Amin Akhavan

We develop an analytic approximation for the coincidence limit of a massive scalar propagator in an arbitrary spatially flat, homogeneous and isotropic geometry. We employ this to compute the one loop corrections to the inflaton effective…

General Relativity and Quantum Cosmology · Physics 2020-08-05 A. Kyriazis , S. P. Miao , N. C. Tsamis , R. P. Woodard

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 discuss a generic form of the scalar potential appearing in the geometric scalar theory of gravity. We find the conditions on the potential by considering weak and strong gravity. The modified black hole solutions are obtained for…

General Relativity and Quantum Cosmology · Physics 2016-07-19 Nahomi Kan , Kiyoshi Shiraishi

Combining an optimized expansion scheme in the spirit of the background field method with the Coleman's normal-ordering renormalization prescription, we calculate the effective potential of sine-Gordon field theory beyond the Gaussian…

High Energy Physics - Theory · Physics 2009-11-07 Wen-Fa Lu , Chul Koo Kim , Kyun Nahm

Classical field theories coupled to stochastic noise provide an extremely powerful tool for modeling phenomena as diverse as turbulence, pattern-formation, and the structural development of the universe itself. In this Letter we sketch a…

Statistical Mechanics · Physics 2007-05-23 David Hochberg , Carmen Molina-Paris , Juan Perez-Mercader , Matt Visser

For a three-dimensional higher-derivative scalar superfield model, and a four-dimensional higher-derivative chiral superfield model, where which the higher-derivative operators are described by polynomials of arbitrary degrees, we…

High Energy Physics - Theory · Physics 2021-01-18 F. S. Gama , J. R. Nascimento , A. Yu. Petrov

The study of effective potential for the scalar Lee-Wick pseudo-electrodynamics in one-loop is presented in this letter. The planar and non-local Lee-Wick pseudo-electrodynamics is so coupled to a complex scalar field sector in 1+2…

High Energy Physics - Theory · Physics 2025-08-26 M. J. Neves

I present the two-loop self-energy functions for scalar bosons in a general renormalizable theory, within the approximation that vector bosons are treated as massless or equivalently that gauge symmetries are unbroken. This enables the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stephen P. Martin

We consider derivation of the effective potential for a scalar field in curved space-time within the physical regularization scheme, using two sorts of covariant cut-off regularizations. The first one is based on the local momentum…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Flavia Sobreira , Baltazar J. Ribeiro , Ilya L. Shapiro

We investigate the renormalization structure of scalar Galileons in flat spacetime. We explicitly calculate the ultraviolet divergent one-loop contributions to the 2-point, 3-point, 4-point, and 5-point functions. We discuss the structure…

High Energy Physics - Theory · Physics 2020-03-16 Lavinia Heisenberg , Christian F. Steinwachs

We derive universal formulae for integrating out heavy degrees of freedom in scalar field theories up to one-loop level in terms of covariant quantities associated with the geometry of the field manifold. The universal matching results can…

High Energy Physics - Phenomenology · Physics 2024-11-08 Xu-Xiang Li , Xiaochuan Lu , Zhengkang Zhang

In this talk we study the renormalization of the effective Kaehler potential at one and two loops for general four dimensional (non--renormalizable) N=1 supersymmetric theories described by arbitrary Kaehler potential, superpotential and…

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

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

We present the one-loop scalar field effective potential for the $N=2$ supersymmetric nonrelativistic self-interacting matter fields coupled to an Abelian Chern-Simons gauge field and for its generalization when bosonic matter fields are…

High Energy Physics - Theory · Physics 2007-05-23 D. Caenepeel , M. Leblanc

The renormalization of higher-dimensional operators in quantum field theory is essential for phenomenological analyses in particle physics, and plays a significant role in the study of critical phenomena. We present a framework for…

High Energy Physics - Phenomenology · Physics 2025-12-10 Guilherme Guedes , Jasper Roosmale Nepveu