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Singular potentials (the inverse-square potential, for example) arise in many situations and their quantum treatment leads to well-known ambiguities in choosing boundary conditions for the wave-function at the position of the potential's…

High Energy Physics - Phenomenology · Physics 2017-05-24 C. P. Burgess , Peter Hayman , Matt Williams , Laszlo Zalavari

A gauge invariant flow equation is derived by applying a Wilsonian momentum cut-off to gauge invariant field variables. The construction makes use of the geometrical effective action for gauge theories in the Vilkovisky-DeWitt framework.…

High Energy Physics - Theory · Physics 2007-05-23 Jan M. Pawlowski

We study the heterotic string compactified on K3 x T^2 near the line T=U, where the effective action becomes singular due to an SU(2) gauge symmetry enhancement. By `integrating in' the light W^\pm vector multiplets we derive a quantum…

High Energy Physics - Theory · Physics 2009-11-10 Jan Louis , Thomas Mohaupt , Marco Zagermann

Using the world-line method we resum the scalar one-loop effective action. This is based on an exact expression for the one-loop action obtained for a background potential and a Taylor expansion of the potential up to quadratic order in…

High Energy Physics - Theory · Physics 2015-06-26 Thomas Auer , Michael G. Schmidt , Claus Zahlten

Nonperturbative renormalization and explicit construction of the effective potential of the Hartree approximation of the two-particle-irreducible formalism are carried out in an inhomogeneous field configuration describing a uniform…

High Energy Physics - Phenomenology · Physics 2015-06-23 G. Fejos

In this article, we consistently reduce the equations of motion for the bosonic N = 2 supergravity action, using a multi-centered black hole ansatz for the metric. This reduction is done in a general, non-supersymmetric setup, in which we…

High Energy Physics - Theory · Physics 2009-12-07 Antoine Van Proeyen , Bert Vercnocke

We study pure noncommutative U(1) gauge theory representing its one-loop effective action in terms of a phase space worldline path integral. We write the quadratic action using the background field method to keep explicit gauge invariance,…

High Energy Physics - Theory · Physics 2015-11-26 Naser Ahmadiniaz , Olindo Corradini , Daniela D'Ascanio , Sendic Estrada-Jimenez , Pablo Pisani

Using the N = 2 off-shell formulation in harmonic superspace for N = 4 super Yang-Mills theory, we present a representation of the one-loop effective action which is free of so-called coinciding harmonic singularities and admits a…

High Energy Physics - Theory · Physics 2009-11-07 S. M. Kuzenko , I. N. McArthur

We compute thermodynamic properties of dilute Bose gases using non-perturbative approximations of the two-particle irreducible (2PI) effective action. It is shown how to systematically renormalise the self-consistent descriptions beyond…

Quantum Gases · Physics 2026-04-20 Michael H. Heinrich , Alexander Wowchik , Jürgen Berges

We consider the initial value problem and its renormalisation in the framework of the two-particle-irreducible (2PI) effective action. We argue that in the case of appropriately chosen self-consistent initial conditions, the counterterms…

High Energy Physics - Phenomenology · Physics 2014-11-18 Szabolcs Borsanyi , Urko Reinosa

We set up the effective field theories which describe the SO(5)-invariant picture of the high-Tc cuprates in various regimes. We use these to get quantitative conclusions concerning the size of SO(5)-breaking effects. We consider two…

Superconductivity · Physics 2016-08-31 C. P. Burgess , C. A. Lutken

Recently, out-of-equilibrium field theory has been studied using approximations based on truncations of the 2PI effective action. Although results are promising, the convergence of subsequent orders of the approximation is difficult to get…

High Energy Physics - Phenomenology · Physics 2007-05-23 Anders Tranberg

The nonequilibrium time evolution of a quantum dot is studied by means of dynamic equations for time-dependent Greens functions derived from a two-particle-irreducible (2PI) effective action for the Anderson impurity model. Coupling the dot…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 Sebastian Bock , Alexander Liluashvili , Thomas Gasenzer

At 2-loop order, Feynman integrals in the Coulomb gauge are divergent over the internal energy variables. Nevertheless, it is known how to calculate the effective action provided that the external gluon fields are all transverse. We show…

High Energy Physics - Theory · Physics 2015-06-22 A. Andrasi , J. C. Taylor

We perform an analysis of a number of approximations and methods used in numerical simulations of real-time Kadanoff-Baym equations based on truncations of the 2PI effective action. We compare the loop expansion to the 1/N expansion and…

High Energy Physics - Phenomenology · Physics 2024-09-11 Anders Tranberg , Gerhard Ungersbäck

This article proposes a new way of deriving mean-field exponents for the weakly self-avoiding walk model in dimensions $d>4$. Among other results, we obtain up-to-constant estimates for the full-space and half-space two-point functions in…

Probability · Mathematics 2025-07-28 Hugo Duminil-Copin , Romain Panis

The possibility of a small modification of spinor Quantum Electro-Dynamics is reconsidered, in which Lorentz and CPT non-covariant kinetic terms for photons and fermions are present. The corresponding free field theory is carefully…

High Energy Physics - Theory · Physics 2014-11-18 A. A. Andrianov , P. Giacconi , R. Soldati

Different models are described where non-interacting particles generate dissipative effective forces by the mixing of infinitely many soft normal modes. The effective action is calculated for these models within the Closed Time Path…

High Energy Physics - Theory · Physics 2015-02-16 Janos Polonyi

Our previously-developed calculational method (the partial wave cutoff method) is employed to evaluate explicitly scalar one-loop effective actions in a class of radially symmetric background gauge fields. Our method proves to be…

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

Two different methods of obtaining ``effective $2\times 2$ Hamiltonians'' which include relativistic corrections to nonrelativistic calculations are discussed, the standard Foldy--Wouthuysen transformation and what we call the ``direct…

Nuclear Theory · Physics 2009-10-22 H. W. Fearing , G. I. Poulis , S. Scherer
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