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To illustrate the unitarity of the massive gauge field theory described in the foregoing papers, we calculate the scattering amplitudes up to the fourth order of perturbation by the optical theorem and the Landau-Cutkosky rule. In the…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su

We present the results of a high statistics lattice study of the gluon propagator, in the Landau gauge, at $\beta=6.0$. As suggested by previous studies, we find that, in momentum space, the propagator is well described by the expression…

High Energy Physics - Lattice · Physics 2015-06-25 P. Marenzoni , G. Martinelli , N. Stella

First-quantized propagation in quantum gravitational AdS$_3$ backgrounds can be exactly reconstructed using CFT$_2$ data and Virasoro symmetry. We develop methods to compute the bulk-to-boundary propagator in a black hole microstate,…

High Energy Physics - Theory · Physics 2022-10-12 Hongbin Chen , A. Liam Fitzpatrick , Jared Kaplan , Daliang Li

The axial-gauge boson propagator contains 1/(n.k)^p-type singularities. These singularities have generally been treated by inventing prescriptions for them. We propose an alternative procedere for treating these singularities in the…

High Energy Physics - Theory · Physics 2007-05-23 A. Misra

Gauge fields are special in the sense that they are invariant under gauge transformations and \emph{``ipso facto''} they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge…

High Energy Physics - Theory · Physics 2007-05-23 Alfredo T. Suzuki , J. H. O. Sales

For long distances in the euclidean time the vector-vector correlator ($\rho$) has an exponentially decreasing signal-to-noise ratio. However, the vector correlator not only consists of the vector meson but also receives contributions from…

High Energy Physics - Lattice · Physics 2025-02-03 Fabian Frech , Finn Stokes , Kalman Szabo

In this work we give a sense to the notion of orientation for self-similar Gaussian fields with stationary increments, based on a Riesz analysis of these fields, with isotropic zero-mean analysis functions. We propose a structure tensor…

Classical Analysis and ODEs · Mathematics 2018-11-30 Kévin Polisano , Marianne Clausel , Valérie Perrier , Laurent Condat

We report on a lattice study of the gauge boson propagator of 3D compact QED in Landau gauge at zero and finite temperature. Non-perturbative effects are reflected by the generation of a mass m and by an anomalous dimension alpha. These…

High Energy Physics - Lattice · Physics 2017-08-23 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

We develop worldline numerical methods, which combine string-inspired with Monte-Carlo techniques, for the computation of the vacuum polarization tensor in inhomogeneous background fields for scalar QED. The algorithm satisfies the Ward…

High Energy Physics - Phenomenology · Physics 2013-05-29 Holger Gies , Lars Roessler

The SU(2) gluon propagator in Landau gauge is studied on the lattice. Our gauge fixing procedure employs simulated annealing and Z(2)-flips. It finds higher maxima of the gauge functional compared with those obtained with the standard…

High Energy Physics - Lattice · Physics 2008-11-26 I. L. Bogolubsky , V. G. Bornyakov , G. Burgio , E. -M. Ilgenfritz , M. Müller-Preussker , P. Schemel , V. K. Mitrjushkin

We prove that the Schr\"odinger equation for N number of particles in the time dependent electro-magnetic field generates a unique unitary propagator on the state space under the condition that the field is smooth and moderately but almost…

Mathematical Physics · Physics 2015-12-03 Kenji Yajima

We develop a fully gauge invariant analysis of gravitational wave polarizations in metric f(R) gravity with a particular focus on the modified Starobinsky model, whose constant curvature solution provides a natural deSitter background for…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Ramesh Radhakrishnan , David McNutt , Delaram Mirfendereski , Alejandro Pinero , Eric Davis , William Julius , Gerald Cleaver

NOTE: this is a shortened version of the abstract of the paper. Multigrid methods for propagators in gauge fields are investigated. Gauge fields are incorporated in algorithms in a covariant way. This avoids the necessity for gauge fixing…

High Energy Physics - Lattice · Physics 2015-06-25 Thomas Kalkreuter

We complete our high-accuracy studies of the lattice ghost propagator in Landau gauge in Numerical Stochastic Perturbation Theory up to three loops. We present a systematic strategy which allows to extract with sufficient precision the…

High Energy Physics - Lattice · Physics 2010-12-09 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

We study the gauge dependence of the fermion propagator in quenched QED3 with and without dynamical symmetry breaking in the light of its Landau-Khalatnikov-Fradkin Transformation (LKFT). In the former case, starting with the massive bare…

High Energy Physics - Theory · Physics 2009-08-11 A. Bashir , A. Raya

The Landau gauge lattice gluon propagator is discussed for different sets of lattices. Particular attention is given to its infrared properties. Our results show that the lattice propagator can be made compatible with either the…

High Energy Physics - Lattice · Physics 2011-07-14 O. Oliveira , P. J. Silva

We construct a de Sitter invariant photon propagator in general covariant gauges. Our result is a natural generalization of the Allen-Jacobson photon propagator in Feynman gauge. Our propagator reproduces the correct response to a point…

General Relativity and Quantum Cosmology · Physics 2014-01-20 Silvije Domazet , Tomislav Prokopec

A new way of describing massive vector bosons is proposed. It is possible to change the boson propagator in such way that the theory with the vector boson interaction becomes a renormalized one. One example of the efficacy of such a…

High Energy Physics - Phenomenology · Physics 2009-12-03 K. S. Karplyuk

In this article, a new perspective for obtaining the magnetic evolution of $\pi-\pi $ scattering lengths in the frame of the linear sigma model is presented. When computing the relevant one-loop diagrams that contribute to these parameters,…

High Energy Physics - Phenomenology · Physics 2019-03-13 M. Loewe , L. Monje , E. Muñoz , A. Raya , R. Zamora

The formalism for analyzing the magnetic field distribution in the vortex lattice of Pauli limited heavy electron superconductors is applied to the evaluation of the vortex lattice static linewidth relevant to Muon Spin Rotation ($\mu$SR)…

Superconductivity · Physics 2015-06-04 Vincent P. Michal
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