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A non-principal value prescription is used to define the spurious singularities of Yang-Mills theory in the temporal gauge. Typical one-loop dimensionally-regularized temporal-gauge integrals in the prescription are explicitly calculated,…

High Energy Physics - Theory · Physics 2009-10-22 Kuo-Cheng Lee , Su-Long Nyeo

This is the third paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity. In this work we analyze models which, despite the fact that the phase space is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Bianca Dittrich , Thomas Thiemann

We prove the Lorentz symmetry of supermembrane theory in the light cone gauge to complete the program initiated by de Wit, Marquard and Nicolai. We give some comments on extending the formulation to the M(atrix) theory.

High Energy Physics - Theory · Physics 2009-10-30 Kiyoshi Ezawa , Yutaka Matsuo , Koichi Murakami

The abundance of infrared singularities in gauge theories due to unresolved emission of massless particles (soft and collinear) represents the main difficulty in perturbative calculations. They are typically regularized in dimensional…

High Energy Physics - Phenomenology · Physics 2016-03-23 Roger J. Hernandez-Pinto , German F. R. Sborlini , German Rodrigo

Local, manifestly dual-conformally invariant loop integrands are now known for all finite quantities associated with observables in planar, maximally supersymmetric Yang-Mills theory through three loops. These representations, however, are…

High Energy Physics - Theory · Physics 2019-05-01 Jacob L. Bourjaily , Falko Dulat , Erik Panzer

Physical mass spectra of supersymmetric Yang-Mills theories in 1+1 dimensions are evaluated in the light-cone gauge with a compact spatial dimension. The supercharges are constructed and the infrared regularization is unambiguously…

High Energy Physics - Theory · Physics 2010-11-01 Yoichiro Matsumura , Norisuke Sakai , Tadakatsu Sakai

We summarize several basic features concerning canonical equal time quantization and renormalization of Yang--Mills theories in light--cone gauge. We describe a ``two component" formulation which is reminiscent of the light--cone…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Bassetto

We argue that accounting for higher order corrections in QCD by integrating a running coupling constant through an infrared region can be most easily done with making use of a scheme without the Landau pole. Within this approach the entire…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. V. Krasnikov , A. A. Pivovarov

Microlensing light curves are typically computed either by ray-shooting maps or by contour integration via Green's theorem. We present an improved version of the second method that includes a parabolic correction in Green's line integral.…

Earth and Planetary Astrophysics · Physics 2015-05-18 V. Bozza

The optical selection rules of an electron system under a magnetic field play key roles in determining its optical properties, from which the band structures and underlying symmetries can be derived. In this Letter, based on a…

Mesoscale and Nanoscale Physics · Physics 2022-11-03 Yi-Xiang Wang , Fuxiang Li

A Lorentz and gauge symmetry preserving regularization method is discussed in four dimension based on momentum cutoff. We use the conditions of gauge invariance or equivalently the freedom of shift of the loop momentum to define the…

High Energy Physics - Phenomenology · Physics 2015-09-25 G. Cynolter , E. Lendvai

We formulate the infrared regularization of Becher and Leutwyler in a form analogous to our recently proposed extended on-mass-shell renormalization. In our formulation, IR regularization can be applied straightforwardly to multi-loop…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. R. Schindler , J. Gegelia , S. Scherer

The Laplacian matrix $L$ of a signed graph $G$ may or may not be invertible. We present a combinatorial formula of the Moore-Penrose inverse of $L$. This is achieved by finding a combinatorial formula for the Moore-Penrose inverse of an…

Combinatorics · Mathematics 2023-11-07 Abdullah Alazemi , Milica Andelic , Sudipta Mallik

Spectropolarimetry of distant sources of electromagnetic radiation at wavelengths ranging from infrared to ultraviolet are used to constrain Lorentz violation. A bound of 3x10^{-32} is placed on coefficients for Lorentz violation.

High Energy Physics - Phenomenology · Physics 2017-08-23 Matthew Mewes

By measuring the polarization changes in THz, infrared, and visible radiation over an extended energy range (3-2330 meV), we observe symmetry-breaking in cuprate high temperature superconductors over wide energy, doping, and temperature…

By applying the recently developed Loop Regularization(LR) with string-mode regulators to supersymmetric field theories, we explicitly verify the supersymmetric Ward identities in several supersymmetric models at one-loop level. It is…

High Energy Physics - Phenomenology · Physics 2009-12-04 Jian-Wei Cui , Yong Tang , Yue-Liang Wu

The usual derivation of Einstein's field equations from the Einstein--Hilbert action is performed by silently assuming the metric tensor's symmetric character. If this symmetry is not assumed, the result is a new theory, such as Einstein's…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Viktor T. Toth

Linear perturbations of Friedmann-Robertson-Walker universes with any curvature and cosmological constant are studied in a general gauge without decomposition into harmonics. Desirable gauges are selected as those which embody best Mach's…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jiri Bicak , Joseph Katz , Donald Lynden-Bell

There exist certain intrinsic relations between the ultraviolet divergent graphs and the convergent ones at the same loop order in renormalizable quantum field theories. Whereupon we may establish a new method, the intrinsic regularization…

High Energy Physics - Theory · Physics 2007-05-23 Yu Cai , Han-Ying Guo , Dao-Neng Gao

Exact superstring solutions are constructed in 4-D space-time, with positive curvature and non-trivial dilaton and antisymmetric tensor fields. The full spectrum of string excitations is derived as a function of moduli fields $T^{i}$ and…

High Energy Physics - Theory · Physics 2016-09-06 Elias Kiritsis , Costas Kounnas