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Related papers: The One-Loop Effective K\"ahler Potential. I: Chir…

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We introduce and discuss the method of Linear Delta Expansion for the calculation of effective potentials in superspace, by adopting the improved version of the super-Feynman rules. Calculations are carried out up to two-loops and an…

High Energy Physics - Theory · Physics 2008-11-26 M. C. B. Abdalla , J. A. Helayël-Neto , Daniel L. Nedel , Carlos R. Senise

In this technical note we introduce a manifestly gauge-invariant and supersymmetric procedure to regularize and renormalize one-loop divergences of chiral multiplets in two-dimensional N=(2,2) theories in curved spacetime. We apply the…

High Energy Physics - Theory · Physics 2018-01-17 Takuya Okuda

An exact renormalization group for theories of a scalar chiral superfield is formulated, directly in four dimensional Euclidean space. By constructing a projector which isolates the superpotential from the full Wilsonian effective action,…

High Energy Physics - Theory · Physics 2015-03-13 Oliver J. Rosten

In Effective Field Theories (EFTs) with higher-dimensional operators many anomalous dimensions vanish at the one-loop level for no apparent reason. With the use of supersymmetry, and a classification of the operators according to their…

High Energy Physics - Phenomenology · Physics 2016-04-15 J. Elias-Miro , J. R. Espinosa , A. Pomarol

The study of the effective potential for non-renormalisable scalar SO(N) symmetric theories leads to recurrence relations for the coefficients of the leading logarithms. These relations can be transformed into generalised…

High Energy Physics - Theory · Physics 2025-01-28 R. M. Iakhibbaev , D. M. Tolkachev

We consider the problem of improving the effective potential in mass independent schemes, as e.g. the $\MSbar$ or $\DRbar$ renormalization scheme, in the presence of an arbitrary number of fields with $\phi$-dependent masses $M_i(\phi_c)$.…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. A. Casas , V. Di Clemente , M. Quiros

Branchina et al and Consoli have recently shown that the one-loop effective potential (1LEP) of massless lambda-phi**4 theory can be renormalized in two distinct ways. One of these is the conventional renormalization of Coleman and…

High Energy Physics - Phenomenology · Physics 2009-10-22 R. Ibanez-Meier , P. M. Stevenson

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

We present an on-shell formulation of 5d gauged supergravity coupled to chiral matter multiplets localized at the orbifold fixed points. The brane action is constructed via the Noether method. In such set-up we compute one-loop corrections…

High Energy Physics - Theory · Physics 2009-11-11 Adam Falkowski

We study the one-loop quantum corrections for higher-derivative superfield theories, generalizing the approach for calculating the superfield effective potential. In particular, we calculate the effective potential for two versions of…

High Energy Physics - Theory · Physics 2009-11-23 M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We consider Lifshitz-type scalar theories with explicit breaking of the Lorentz symmetry that, in addition, exhibit anisotropic scaling laws near the ultraviolet fixed point. Using the proper time regularization method on the spatial…

High Energy Physics - Theory · Physics 2020-12-30 Alfio Bonanno , Miok Park , Lesław Rachwał , Dario Zappalà

We demonstrate how to extract all the one-loop renormalization group equations for arbitrary quantum field theories from knowledge of an appropriate Seeley--DeWitt coefficient. By formally solving the renormalization group equations to one…

High Energy Physics - Theory · Physics 2009-10-31 David Hochberg , Carmen Molina-Paris , Juan Perez-Mercader , Matt Visser

We perform the leading one-loop renormalization of the chiral Lagrangian for spinless matter fields living in the fundamental representation of SU(N). The Lagrangian can also be applied to any theory with a spontaneous symmetry breaking of…

High Energy Physics - Phenomenology · Physics 2016-12-21 Meng-Lin Du , Feng-Kun Guo , Ulf-G. Meißner

We consider the one-loop renormalization of a real scalar field interacting with a Dirac spinor field in curved spacetime. A general Yukawa interaction is considered which includes both a scalar and a pseudoscalar coupling. The scalar field…

High Energy Physics - Theory · Physics 2018-07-04 David J. Toms

In this paper we apply the usual perturbative methodology to evaluate the one-loop effective potential in a nonlocal scalar field theory. We find that the effect induced by the nonlocaliity of the theory is always very small and we discuss…

General Relativity and Quantum Cosmology · Physics 2015-11-18 F. Briscese , E. R. Bezerra de Mello , A. Yu. Petrov , V. B. Bezerra

The Pauli--Villars regularization procedure confirms and sharpens the conclusions reached previously by covariant point splitting. The divergences in the stress tensor of a quantized scalar field interacting with a static scalar potential…

High Energy Physics - Theory · Physics 2018-03-07 S. A. Fulling , T. E. Settlemyre , K. A. Milton

We show a general formula of the one loop effective potential of the 5D SU(N) gauge theory compactified on an orbifold, $S^1/Z_2$. The formula shows the case when there are fundamental, (anti-)symmetric tensor and adjoint representational…

High Energy Physics - Phenomenology · Physics 2014-11-17 Naoyuki Haba , Toshifumi Yamashita

We study the one-loop effective action for a generic two-dimensional dilaton gravity theory conformally coupled to $N$ matter fields. We obtain an explicit expression for the effective action in the weak-coupling limit under a suitable…

High Energy Physics - Theory · Physics 2009-01-16 A. Mikovic , V. Radovanovic

We derive the kernels and the Effective Field Theory of Large-Scale Structure counterterms for the one-loop bispectrum of dark matter and of biased tracers in real and redshift space. This requires the expansion of biased tracers up to…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-09 Guido D'Amico , Yaniv Donath , Matthew Lewandowski , Leonardo Senatore , Pierre Zhang

The main theme of the paper is the detailed discussion of the renormalization of the quantum field theory comprising two interacting scalar fields. The potential of the model is the fourth-order homogeneous polynomial of the fields,…

High Energy Physics - Theory · Physics 2021-04-21 S. R. Juárez Wysozka , Piotr Kielanowski , Edgar Uribe Longoria , Liliana Vazquez Mercado