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The pseudoparticle approach is a numerical method to approximate path integrals in SU(2) Yang-Mills theory. Path integrals are computed by summing over all gauge field configurations, which can be represented by a linear superposition of a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Marc Wagner

A continuous sequence of infinitesimal unitary transformations is used to diagonalize the quantum sine-Gordon model for \beta^2\in(2\pi,\infty). This approach can be understood as an extension of perturbative scaling theory since it links…

Statistical Mechanics · Physics 2009-10-31 Stefan Kehrein

The factorization of soft and ultrasoft gluons from collinear particles is shown at the level of operators in an effective field theory. Exclusive hadronic factorization and inclusive partonic factorization follow as special cases. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian W. Bauer , Dan Pirjol , Iain W. Stewart

Using the AdS/CFT correspondence in a confining backgroundand the worldline formalism of gauge field theories,we compute scattering amplitudes with an exchange of quark andantiquark in the $t$-channel corresponding to Reggeon exchange.…

High Energy Physics - Theory · Physics 2008-11-26 R. A. Janik , R. Peschanski

We study the emission of soft photons coupling to high energy fixed angle scattering processes at first order in the electromagnetic coupling but to all loop orders in a class of theories without soft divergences, including massive and…

High Energy Physics - Theory · Physics 2017-07-05 Hualong Gervais

We report on the status of the string-inspired world line path integral formalism, a recently developed powerful tool for the reorganisation of standard perturbative amplitudes in quantum field theory. The method is outlined and the present…

High Energy Physics - Theory · Physics 2007-05-23 Michael G. Schmidt , Christian Schubert

We investigate the photon emission in pion-pion and pion-proton scattering in the soft-photon limit where the photon energy $\omega \to 0$. The expansions of the $\pi^{-} \pi^{0} \to \pi^{-} \pi^{0} \gamma$ and the $\pi^{\pm} p \to…

High Energy Physics - Phenomenology · Physics 2024-05-30 Piotr Lebiedowicz , Otto Nachtmann , Antoni Szczurek

We derive an exact path integral formulation for the partition function for the Ising model using a mapping between spins and poles of a Laurent expansion for a field on the complex plane. The advantage in using this formulation for the…

Statistical Mechanics · Physics 2019-08-23 Francesco Caravelli

Mobile charge in an electrolytic solution can in principle be represented as the divergence of ionic polarization. After adding explicit solvent polarization a finite volume of electrolyte can then be treated as a composite non-uniform…

Soft Condensed Matter · Physics 2021-03-03 Michiel Sprik

We lay out the basis of factorization at the amplitude level for processes involving the entire Standard Model. The factorization appears in a generalized eikonal approximation in which we expand around a quasi-soft limit for massive gauge…

High Energy Physics - Phenomenology · Physics 2024-07-16 Simon Plätzer , Malin Sjodahl

We consider the Abelian model of a complex scalar field coupled to a gauge field within the framework of General Relativity and search for cosmological solutions. For this purpose we assume a homogeneous, isotropic and uncharged Universe…

Astrophysics · Physics 2009-11-10 Daniele S. M. Alves , Gilberto M. Kremer

Unification ideas motivate the formulation of field equations on an extended spin space. Demanding that the Poincare symmetry be maintained, one derives scalar symmetries that are associated with flavor and gauge groups. Boson and fermion…

High Energy Physics - Theory · Physics 2009-11-07 J. Besprosvany

We apply the soft-collinear effective theory (SCET) to deep inelastic scattering near the endpoint region. The forward scattering amplitude, and the structure functions are shown to factorize as a convolution of the Wilson coefficients, the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Junegone Chay , Chul Kim

We obtain a generalization of the Low theorem for non-Abelian boson emission in collision of scalar and gauge vector particles and its extension to high energy collisions for small transverse momenta of produced particles. We demonstrate…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. N. Antonov

We consider a simple action for a fractional spin particle and a path integral representation for the propagator is obtained in a gauge such that the constraint embodied in the Lagrangian is not an obstacle. We obtain a propagator for the…

High Energy Physics - Theory · Physics 2007-05-23 Wellington da Cruz

We develop the Diakonov-Petrov approach to the representation of the non-Abelian Wilson loop in an Abelian form. First of all, we extend this approach to the Abelian representation of the parallel transporter corresponding to the open curve…

High Energy Physics - Phenomenology · Physics 2020-09-30 M. A. Zubkov

We write a space-time Feynman path integral representation for scattered elastic wave fields from a weakly compact supported anisotropic non-homogeneity.Replacement by a new version where We (I!) propose a new tomographic inversion…

Mathematical Physics · Physics 2019-08-22 Luiz C. L. Botelho

Using the worldline formalism of the Dirac field with a non-Abelian gauge symmetry we show how to describe the matter field transforming in an arbitrary representation of the gauge group. Colour degrees of freedom are carried on the…

High Energy Physics - Theory · Physics 2016-10-12 James P. Edwards , Olindo Corradini

A complete basis for the next-to-next-to leading order heavy-to-light currents in the soft-collinear effective theory is constructed. Reparameterization invariance is imposed by deriving constraint equations. Their solutions give the set of…

High Energy Physics - Phenomenology · Physics 2013-05-29 Christian M. Arnesen , Joydip Kundu , Iain W. Stewart

Soft theorems describe the behavior of scattering amplitudes when one or several external particles are taken to be energetically soft. In tree-level gravity there are universal soft theorems for the three leading orders in the soft…

High Energy Physics - Theory · Physics 2025-04-24 Eivind Jørstad , Sruthi A. Narayanan