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We utilize a mass independent Klein-Gordon equation that is first order in a variable that plays the role of time, the approach taken in parametric time formulations. Using concepts from semigroup evolution, we examine the sign of a noisy…

Quantum Physics · Physics 2024-12-10 Allan Tameshtit

A modification of the Fokker action is proposed, which allows one to formulate the covariant quantum theory of the charge system, in which the proper time of each particle serves as the evolution parameter and the particles themselves…

Quantum Physics · Physics 2020-04-22 Natalia Gorobey , Alexander Lukyanenko , A. V. Goltsev

In this chapter, we will review the field-theoretic treatment of General Relativity based on an effective field theory extension of the Einstein-Hilbert action. This pragmatic route to low-energy quantum effects in gravity critically…

High Energy Physics - Theory · Physics 2022-12-20 N. Emil J. Bjerrum-Bohr , Ludovic Planté , Pierre Vanhove

We propose general guidelines in order to incorporate the geometrical description of gravity in quantum field theory and address the problem of UV divergences non-perturbatively. In our aproach, each virtual particle in a Feynman graph…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Roberto Casadio

The Standard Model of the electroweak and strong interactions of particle physics is a quantum field theory. Elementary particles are not indivisible `pieces' of matter but energy bundles of fields, whose properties and interactions are a…

High Energy Physics - Phenomenology · Physics 2022-11-29 José Ignacio Illana , Alejandro Jiménez Cano

A canonical formulation of effective equations describes quantum corrections by the back-reaction of moments on the dynamics of expectation values of a state. As a first step toward an extension to quantum-field theory, these methods are…

High Energy Physics - Theory · Physics 2014-11-14 Martin Bojowald , Suddhasattwa Brahma

This is a more detailed version of our recent paper where we proposed, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature. This can, in…

High Energy Physics - Theory · Physics 2010-03-12 Ashok Das , J. Frenkel

This is a pedagogical introduction to the treatment of quantum general relativity as an effective field theory. It starts with an overview of the methods of effective field theory and includes an explicit example. Quantum general relativity…

General Relativity and Quantum Cosmology · Physics 2015-06-11 John F. Donoghue

We provide a new and completely general formalism to compute the effective field theory matching contributions from integrating out massive fields in a manifestly gauge covariant way, at any desired loop order. The formalism is based on old…

High Energy Physics - Phenomenology · Physics 2023-04-28 Gero von Gersdorff , Kevin Santos

The derivative expansion of the one-loop effective action in QED$_3$ and QED$_4$ is considered. The first term in such an expansion is the effective action for a constant electromagnetic field. An explicit expression for the next term…

High Energy Physics - Theory · Physics 2009-10-31 V. P. Gusynin , I. A. Shovkovy

We study quantization of a self-interacting scalar field within the unfolded dynamics approach. To this end we find and analyze a classical unfolded system describing 4d off-shell scalar field with a general self-interaction potential. Then…

High Energy Physics - Theory · Physics 2023-12-22 Nikita Misuna

We develop integration-by-parts rules for Feynman diagrams involving massive scalar propagators in a constant background electromagnetic field, and use these to show that there is a simple diagrammatic interpretation of mass renormalization…

High Energy Physics - Theory · Physics 2008-11-26 Gerald V. Dunne , Marek Krasnansky

A new method is introduced for doing calculations of quantum field theories in planar geometries which the metric depends on just one coordinate. In contrast to previous method, this method can be used in any planar geometry, not only…

High Energy Physics - Theory · Physics 2016-06-29 Davood Allahbakhshi

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

Generalizing the noncommutative harmonic oscillator construction, we propose a new extension of quantum field theory based on the concept of "noncommutative fields". Our description permits to break the usual particle-antiparticle…

High Energy Physics - Theory · Physics 2009-11-10 J. M. Carmona , J. L. Cortes , J. Gamboa , F. Mendez

The Feynman propagator used in the conventional in-out formalism in quantum field theory is not a causal propagator as wave packets are propagated virtually instantaneously outside the causal region of the initial state. We formulate a…

High Energy Physics - Theory · Physics 2010-12-17 Jurjen F. Koksma , W. Westra

We are studying the dynamics of a one-dimensional field in a non-commutative Euclidean space. The non-commutative space we consider is the one that emerges in the context of three dimensional Euclidean quantum gravity: it is a deformation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Karim Noui

For distinguishable particles it is well known that Brownian motion and a Feynman-Kac functional can be used to calculate the path integral (for imaginary times) for a general class of scalar potentials. In order to treat identical…

Condensed Matter · Physics 2009-10-28 L. F. Lemmens , F. Brosens , J. T. Devreese

Classical molecular dynamics (MD) is a well established and powerful tool in various fields of science, e.g. chemistry, plasma physics, cluster physics and condensed matter physics. Objects of investigation are few-body systems and…

Strongly Correlated Electrons · Physics 2016-02-03 Vladimir Filinov , Michael Bonitz , Alexei Filinov , Volodymyr Golubnychiy

We study the classical motion of a particle subject to a stochastic force. We then present a perturbative schema for the associated Fokker-Planck equation where, in the limit of a vanishingly small noise source, a consistent dynamical model…

Quantum Physics · Physics 2007-05-23 M. S. Torres , J. M. A. Figueiredo