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We present an alternative to the perturbative diagrammatic approach for studying stochastic dynamics. Our approach is based on an auxiliary field loop expansion for the path integral representation for the generating functional of the noise…

Statistical Mechanics · Physics 2015-03-05 Fred Cooper , John F. Dawson

Previously proposed procedure for improving the effective potential by using renormalization group equation (RGE) is generalized so as to be applicable to any system containing several different mass scales. If one knows L-loop effective…

High Energy Physics - Phenomenology · Physics 2017-02-01 Masako Bando , Taichiro Kugo , Nobuhiro Maekawa , Hiroaki Nakano

In this paper, we show how the finite formulation of QFT based on Callan-Symanzik equations can be generalised to the case of non-renormalizable theories. We derive an equation for effective action for an arbitrary single scalar field…

High Energy Physics - Theory · Physics 2025-04-10 Y. Ageeva , P. Petrov , M. Shaposhnikov

Field transformations for the quantum effective action lead to different pictures of a given physical situation, as describing a given evolution of the universe by different geometries. Field transformations for functional flow equations…

High Energy Physics - Theory · Physics 2024-10-22 C. Wetterich

The geometry of field space governs on-shell scattering amplitudes. We formulate a geometric description of effective field theories which extends previous results for scalars and gauge fields to fermions. The field-space geometry…

High Energy Physics - Phenomenology · Physics 2023-07-07 Benoît Assi , Andreas Helset , Aneesh V. Manohar , Julie Pagès , Chia-Hsien Shen

We describe an effective field theory for atomic lasers which reduces to the Jaynes-Cummings model in the non-relativistic, single mode limit. Our action describes a multi-mode system, with general polarizations and Lorentz invariance and…

Quantum Physics · Physics 2009-10-30 Mark Burgess , Margaret Carrington , Gabor Kunstatter

There has been enormous progress in the last few years in designing neural networks that respect the fundamental symmetries and coordinate freedoms of physical law. Some of these frameworks make use of irreducible representations, some make…

Machine Learning · Computer Science 2023-02-09 Soledad Villar , David W. Hogg , Kate Storey-Fisher , Weichi Yao , Ben Blum-Smith

We discuss some applications of the effective quantum field theory to the description of the physics beyond the Standard Model. We consider two different examples. In the first one we derive, at the one-loop level, an effective lagrangian…

High Energy Physics - Phenomenology · Physics 2016-09-01 Mikhail Bilenky , Arcadi Santamaria

We study the small mass limit of the one-loop spinor effective action, comparing the derivative expansion approximation with exact numerical results that are obtained from an extension to spinor theories of the partial-wave-cutoff method.…

High Energy Physics - Theory · Physics 2011-05-25 Gerald V. Dunne , Adolfo Huet , Jin Hur , Hyunsoo Min

We give a detailed critical discussion of the properties of Wilsonian effective actions, defined by integrating out all modes above a given scale $\mu$. In particular, we provide a precise and relatively convenient prescription how to…

High Energy Physics - Theory · Physics 2009-04-22 Adel Bilal

We compute new exact analytic expressions for one-loop scalar effective actions in Kerr (A)dS black hole (BH) backgrounds in four and five dimensions. These are computed by the connection coefficients of the Heun equation via a…

High Energy Physics - Theory · Physics 2025-01-14 Paolo Arnaudo , Giulio Bonelli , Alessandro Tanzini

We present the universal one-loop effective action for all operators of dimension up to six obtained by integrating out massive, non-degenerate multiplets. Our general expression may be applied to loops of heavy fermions or bosons, and has…

High Energy Physics - Phenomenology · Physics 2016-04-20 Aleksandra Drozd , John Ellis , Jérémie Quevillon , Tevong You

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

The computation of the one-loop effective action in a radially symmetric background can be reduced to a sum over partial-wave contributions, each of which is the logarithm of an appropriate one-dimensional radial determinant. While these…

High Energy Physics - Theory · Physics 2008-11-26 Gerald V. Dunne , Jin Hur , Choonkyu Lee

We formulate the simplest minimal subtraction version for massive $\lambda \phi^4$ scalar fields with $O(N)$ symmetry for generic anisotropic Lifshitz space-times. An appropriate partial$-p$ operation is applied in the bare two-point vertex…

High Energy Physics - Theory · Physics 2021-11-24 Marcelo M. Leite

We implement a longstanding proposal by Weisskopf to apply virtual polarization corrections to the in/out external fields in study of the Euler-Heisenberg-Schwinger effective action. Our approach requires distinguishing the electromagnetic…

High Energy Physics - Phenomenology · Physics 2023-06-16 Stefan Evans , Johann Rafelski

We present an effective field theory study of radiation and radiation reaction effects for scalar and electromagnetic fields in general spacetime dimensions. Our method unifies the treatment of outgoing radiation and its reaction force…

High Energy Physics - Theory · Physics 2015-09-28 Ofek Birnholtz , Shahar Hadar

In many situations, one can approximate the behavior of a quantum system, i.e. a wave function subject to a partial differential equation, by effective classical equations which are ordinary differential equations. A general method and…

Mathematical Physics · Physics 2007-05-23 Martin Bojowald , Aureliano Skirzewski

The supersymmetric completion of higher-derivative operators often requires introducing corrections to the scalar potential. In this paper we study these corrections systematically in the context of theories with $\mathcal{N}=1$ global and…

High Energy Physics - Theory · Physics 2018-04-20 David Ciupke

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
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