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A survey is given of applications of the ``string-inspired'' worldline formalism to the computation of amplitudes and effective actions in QED.

High Energy Physics - Phenomenology · Physics 2009-10-31 Christian Schubert

The one loop effective action in quantum field theory can be expressed as a quantum mechanical path integral over world lines, with internal symmetries represented by Grassmanian variables. In this paper, we develop a real time, many body,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jamal Jalilian-Marian , Sangyong Jeon , Raju Venugopalan , Jens Wirstam

We review the derivation of light-cone interaction vertices for fermionic and bosonic fields of arbitrary spin. The resulting amplitudes and their factorization properties are discussed. We then show how this symmetry-based approach works…

High Energy Physics - Theory · Physics 2016-11-23 Sudarshan Ananth

We study the $\phi_{\star}^4$ model for a scalar field in a linearization of the Snyder model, using the methods of the Worldline Formalism. Our main result is a master equation for the 1-loop n-point function. From this we derive the…

High Energy Physics - Theory · Physics 2021-04-01 S. A. Franchino-Viñas , S. Mignemi

The classic Abraham-Lorentz-Dirac self-force of point-like particles is generalized within an effective field theory setup to include linear spin and susceptibility effects described perturbatively, in that setup, by effective couplings in…

High Energy Physics - Theory · Physics 2024-06-06 Gustav Uhre Jakobsen

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

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

We study massive Majorana neutrinos in background matter. Representing these particles in terms of Weyl spinors, we carry out their quantization. The propagators of these fields are also constructed. Then, we apply the Hamilton dynamics…

High Energy Physics - Theory · Physics 2026-05-05 Maxim Dvornikov

Bose gas in a random external field is considered. The sigma model like effective action both for weak and strong random fields compared with the interaction between particles is derived by averaging over the random field and integration…

Disordered Systems and Neural Networks · Physics 2008-12-05 A. Babichenko , V. Babichenko

The classical field equations of general relativity can be expressed as a single geodesic equation, describing the free fall of a point particle in superspace. Based on this formulation, a ``worldline'' quantization of gravity, analogous to…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. Carlini , J. Greensite

We show that various actions of topological conformal theories that were suggested recentely are particular cases of a general action. We prove the invariance of these models under transformations generated by nilpotent fermionic generators…

High Energy Physics - Theory · Physics 2007-05-23 J. Sonnenschein , S. Yankielowicz

We prove that every unitary invertible quantum field theory satisfies a generalization of the famous spin-statistics theorem. To formulate this extension, we define a `higher spin' action of the stable orthogonal group $O$ on appropriate…

Mathematical Physics · Physics 2025-09-09 Cameron Krulewski , Lukas Müller , Luuk Stehouwer

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

Effective field theories consistent with quantum gravity obey surprising finiteness constraints, appearing in several distinct but interconnected forms. In this work we develop a framework that unifies these observations by proposing that…

High Energy Physics - Theory · Physics 2026-02-11 Thomas W. Grimm , David Prieto , Mick van Vliet

A general method to construct free quantum fields for massive particles of arbitrary definite spin in a canonical Hamiltonian framework is presented. The main idea of the method is as follows: a multicomponent Klein-Gordon field that…

High Energy Physics - Theory · Physics 2015-01-21 Gabor Zsolt Toth

A quantization condition due to the boundary conditions and the compatification of the light cone space-time coordinate $x^-$ is identified at the level of the classical equations for the right-handed fermionic field in two dimensions. A…

High Energy Physics - Theory · Physics 2009-10-31 José Luis Cortés , Jorge Gamboa

The finite-size scaling function of the magnetization of the ferromagnetic Heisenberg chain is argued to be universal with respect to the magnitude of the spin. The finite-size scaling function is given explicitly by an analytical…

Condensed Matter · Physics 2016-08-31 H. Nakamura , N. Hatano , M. Takahashi

In Quantum Field Theory, scattering amplitudes are computed from propagators which, for internal lines, are built upon spin/polarization-sum relationships. In turn, these are normally constructed upon plane-wave solutions of the free field…

General Physics · Physics 2024-01-26 Rodolfo José Bueno Rogerio , Luca Fabbri

An effective field theory for clean electron systems is developed in analogy to the generalized nonlinear sigma-model for disordered interacting electrons. The physical goal is to separate the soft or massless electronic degrees of freedom…

Strongly Correlated Electrons · Physics 2013-10-01 D. Belitz , T. R. Kirkpatrick

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