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In this paper I show how path integral techniques can be used to put measures on histories in "susceptible-infectious-recovered" (SIR)-type systems. The standard SIR solution emerges as the classical saddle point of the action describing…

Populations and Evolution · Quantitative Biology 2020-06-03 Steven Gratton

For the same quantum field theory distinct effective actions can be obtained by coupling sources to different choices of field variables. This is the same as considering effective actions for theories related by a change of variables and…

High Energy Physics - Theory · Physics 2025-08-25 Kevin Falls

Nonperturbative approximation schemes are inevitable even in weakly coupled theories if the nonequilibrium behavior of quantum fields is investigated. The two-particle irreducible (2PI) effective action formalism provides an efficient…

High Energy Physics - Phenomenology · Physics 2007-05-23 Szabolcs Borsanyi

Functional integrals are central to modern theories ranging from quantum mechanics and statistical thermodynamics to biology, chemistry, and finance. In this work we present a new method for calculating functional integrals based on a…

Mathematical Physics · Physics 2023-09-22 Amos A. Hari , Sefi Givli

We propose a path integral formulation for scale invariant quantum field theories. We do it by modifying the functional integration measure in such a way that the partition function is always exactly scale invariant, at the cost of having…

High Energy Physics - Theory · Physics 2020-07-10 Mario Herrero-Valea

We construct the path integral formulation of the partition function for a free scalar thermal field theory using coherent states, first in the ladder operator basis and then in the field operator basis. In so doing, we provide for the…

High Energy Physics - Theory · Physics 2025-07-17 Rens Roosenstein , Maximilian Attems , W. A. Horowitz

A classical nonrelativistic effective field theory for a real Lorentz-scalar field $\phi$ is most conveniently formulated in terms of a complex scalar field $\psi$. There have been two derivations of effective Lagrangians for the complex…

High Energy Physics - Phenomenology · Physics 2018-11-28 Eric Braaten , Abhishek Mohapatra , Hong Zhang

Recently, it was found that a new set of simple techniques allow one to conveniently express ordinary integrals through differentiation. These techniques add to the general toolbox for integration and integral transforms such as the Fourier…

Mathematical Physics · Physics 2015-07-17 Achim Kempf , David M. Jackson , Alejandro H. Morales

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

The inaction approach introduced previously for phi^4 is generalized to gauge theories. It combines the advantages of the effective field theory and causal approaches to quantum fields. Also, it suggests ways to generalizing gauge theories.

High Energy Physics - Theory · Physics 2015-06-11 Grigorii Pivovarov

The Fock-Schwinger proper-time method is used to derive the effective action in the field theory with the chiral $U(3)\times U(3)$ symmetry explicitly broken by unequal masses of heavy particles. The one-loop effective action is presented…

High Energy Physics - Theory · Physics 2021-12-08 A. A. Osipov

We explore a novel way of deriving the effective Higgs Lagrangian from strongly interacting vector-like gauge theories. We consider the N=1 supersymmetric extension of gauge theories and interpret the auxiliary field associated with the low…

High Energy Physics - Theory · Physics 2007-05-23 N. Kitazawa , F. Sannino

A systematic procedure for constructing classical integrable field theories with arbitrarily many free parameters is outlined. It is based on the recent interpretation of integrable field theories as realisations of affine Gaudin models. In…

High Energy Physics - Theory · Physics 2019-01-29 Francois Delduc , Sylvain Lacroix , Marc Magro , Benoit Vicedo

I briefly summarized some recent work which uses the techniques of effective field theory to make quantum predictions in general relativity. In contrast to conventional expectations, these are in fact well behaved. The leading quantum…

High Energy Physics - Phenomenology · Physics 2007-05-23 John F. Donoghue

The effective action for the charge density and the photon field is proposed as a generalization of the density functional. A simple definition is given for the density functional, as the functional Legendre transform of the generator…

Strongly Correlated Electrons · Physics 2009-11-07 J. Polonyi , K. Sailer

A class of effective field theories for moduli or collective coordinates on solitons of generic shapes is constructed. As an illustration, we consider effective field theories living on solitons in the O(4) non-linear sigma model with…

High Energy Physics - Theory · Physics 2015-06-09 Sven Bjarke Gudnason , Muneto Nitta

We formulate an effective field theory describing large mass scalars and fermions minimally coupled to gravity. The operators of this effective field theory are organized in powers of the transfer momentum divided by the mass of the matter…

High Energy Physics - Phenomenology · Physics 2021-01-29 Poul H. Damgaard , Kays Haddad , Andreas Helset

We propose for the Effective Topos an alternative construction: a realisability framework composed of two levels of abstraction. This construction simplifies the proof that the Effective Topos is a topos (equipped with natural numbers),…

Logic in Computer Science · Computer Science 2013-07-16 Alexis Bernadet , Stéphane Graham-Lengrand

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 present the explicit construction of the effective field theory (EFT) of standard model mass eigenstates. The EFT, which is invariant under $U(1)_{\text{e.m.}}\times SU(3)_c$, is constructed based on the on-shell method and Young Tableau…

High Energy Physics - Phenomenology · Physics 2023-09-22 Zi-Yu Dong , Teng Ma , Jing Shu , Zi-Zheng Zhou
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