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We analyze the Euclidean version of supersymmetric quantum mechanics on the lattice by means of a numerical path integral. We consider two different lattice derivatives and improve the actions containing them with respect to supersymmetry…

High Energy Physics - Lattice · Physics 2014-02-05 Sebastian Schierenberg , Falk Bruckmann

Nonrelativistic bound states are studied using an effective field theory. Large logarithms in the effective theory can be summed using the velocity renormalization group. For QED, one can determine the structure of the leading and…

High Energy Physics - Lattice · Physics 2009-10-31 Aneesh V. Manohar , Iain W. Stewart

The Master Ward Identity (MWI) gives a universal formulation of the symmetries of a classical field theory. It is a renormalization condition for the time ordered products of the corresponding quantum field theory. We show that the MWI for…

Mathematical Physics · Physics 2021-03-10 Luis Peters

We put forth a new class of quantum master equations that correctly reproduce the asymptotic state of an open quantum system beyond the infinitesimally weak system-bath coupling limit. Our method is based on incorporating the knowledge of…

Quantum Physics · Physics 2022-11-10 Tobias Becker , Alexander Schnell , Juzar Thingna

Following Feynman's successful treatment of the polaron problem we apply the same variational principle to quenched QED in the worldline formulation. New features arise from the description of fermions by Grassmann trajectories, the…

High Energy Physics - Theory · Physics 2009-10-31 C. Alexandrou , R. Rosenfelder , A. W. Schreiber

We verify the QED Ward identity for the two- and three -point functions at non-equilibrium in the HTL limit. We use the Keldysh formalism of real time finite temperature field theory. We obtain an identity of the same form as the Ward…

High Energy Physics - Theory · Physics 2009-10-31 M. E. Carrington , Hou Defu , Markus H. Thoma

The form of the quantum Yang-Mills action, under a longitudinal rescaling is determined using a Wilsonian renormalization group. The high-energy limit, is the extreme limit of such a rescaling. We compute the anomalous dimensions and…

High Energy Physics - Phenomenology · Physics 2009-06-02 Jing Xiao

We consider a lattice regularization, preserving Ward Identities (WI) and with a Wilson term, of the Massive QED$_2$, describing a fermion with mass $m$ and charge $\mathsf{e}$ interacting with a vector field with mass $M$, in the regime…

Mathematical Physics · Physics 2026-02-05 Simone Fabbri , Vieri Mastropietro , Bruno Renzi

The normalization of the quantum corrected action is resolving the equation divergent dependence of the cutoff towards the system apparent result in quantum gravity. Here we consider the normalization to Einstein R twice scalar action with…

High Energy Physics - Theory · Physics 2025-02-25 Daiki Yamaguchi

Under a rescaling of longitudinal coordinates $x^{0,3}$ by a factor $\lambda$ which is taken to zero, the classical QCD action simplifies dramatically. This is the high-energy limit, as $\lambda$ is of order $s^{-1/2}$, where $s$ is the…

High Energy Physics - Phenomenology · Physics 2009-09-02 Peter Orland , Jing Xiao

We recently derived a new action for gluodynamics by canonically transforming the Yang-Mills action on light-cone. The transformation elimated triple gluons vertices and replaced the gauge fields with Wilson lines. This greatly reduced the…

High Energy Physics - Theory · Physics 2024-05-21 Bartosz Grygielski , Hiren Kakkad , Piotr Kotko

We calculate the lowest order quantum gravity contributions to QED beta function in an effective field theory picture with a momentum cutoff. We use a recently proposed 4 dimensional improved momentum cutoff that preserves gauge and Lorentz…

High Energy Physics - Phenomenology · Physics 2015-06-16 G. Cynolter , E. Lendvai

For supersymmetric gauge theories a consistent regularization scheme that preserves supersymmetry and gauge invariance is not known. In this article we tackle this problem for supersymmetric QED within the framework of algebraic…

High Energy Physics - Phenomenology · Physics 2011-09-13 W. Hollik , E. Kraus , D. Stöckinger

Within the derivative expansion of conformally reduced gravity, the modified split Ward identities are shown to be compatible with the flow equations if and only if either the anomalous dimension vanishes or the cutoff profile is chosen to…

High Energy Physics - Theory · Physics 2016-07-13 Peter Labus , Tim R. Morris , Zoë H. Slade

We present a theoretical method to generate a highly accurate {\em time-independent} Hamiltonian governing the finite-time behavior of a time-periodic system. The method exploits infinitesimal unitary transformation steps, from which…

Statistical Mechanics · Physics 2019-05-30 Michael Vogl , Pontus Laurell , Aaron D. Barr , Gregory A. Fiete

Classical Isometrodynamics is quantized in the Euclidean plus axial gauge. The quantization is then generalized to a broad class of gauges and the generating functional for the Green functions of Quantum Isometrodynamics (QID) is derived.…

Mathematical Physics · Physics 2009-08-13 Christian Wiesendanger

We discuss the Equivalence Theorem (ET) in the BRST formalism. The existence of a local inverse of the field transformation (at least as a formal power expansion) suggests a formulation of the ET, which allows a nilpotent BRST symmetry.…

High Energy Physics - Theory · Physics 2007-06-22 Ruggero Ferrari , Marco Picariello , Andrea Quadri

The long standing problem of non perturbative renormalization of a gauge field theoretical Hamiltonian is addressed and explicitly carried out within an (effective) light-cone Hamiltonian approach to QCD. The procedure is in line with the…

High Energy Physics - Phenomenology · Physics 2015-06-25 Hans-Christian Pauli

Extending previous QCD Hamiltonian studies, we present a new renormalization procedure which generates an effective Hamiltonian for the gluon sector. The formulation is in the Coulomb gauge where the QCD Hamiltonian is renormalizable and…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. G. Robertson , E. S. Swanson , A. P. Szczepaniak , C. -R. Ji , S. R. Cotanch

A general framework for the Weyl invariant quantization of Liouville field theory by means of an exact renormalization group equation is proposed. This flow equation describes the scale dependence of the effective average action which has a…

High Energy Physics - Theory · Physics 2009-10-30 M. Reuter , C. Wetterich