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Functional Schr\"{o}dinger equations for interacting fields are solved via rigorous non-perturbative Feynman type integrals.

Mathematical Physics · Physics 2007-05-23 Alexander Dynin

The Wick rotation provides the standard technique of computing Feynman diagrams by means of Euclidean propagators. Let us suppose that quantum fields in an interaction zone are really Euclidean. In contrast with the well-known Euclidean…

High Energy Physics - Theory · Physics 2007-05-23 G. Sardanashvily

The boson and fermion particle masses are calculated in a finite quantum field theory. The field theory satisfies Poincar\'e invariance, unitarity and microscopic causality, and all loop graphs are finite to all orders of perturbation…

High Energy Physics - Phenomenology · Physics 2021-06-01 J. W. Moffat

We apply the covariant derivative expansion of the Coleman-Weinberg potential to the sfermion sector in the minimal supersymmetric standard model, matching it to the relevant dimension-6 operators in the standard model effective field…

High Energy Physics - Phenomenology · Physics 2018-04-25 Ran Huo

Starting from a general relativistic kinetic equation, a self-consistent mean-field equation for fermions is derived within a covariant density matrix approach of QED plasmas in strong external fields. A Schr\"odinger picture formulation on…

Quantum Physics · Physics 2007-05-23 A. Hoell , V. Morozov , G. Roepke

We study nonlinear effects in the QED ladder Schwinger-Dyson(SD) equation. Without further approximations, we show that all nonlinear effects in the ladder SD equation can be included in the effective couplings and how a linear…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hiroaki Kouno , Akira Hasegawa , Masahiro Nakano , Kunito Tuchitani

It is shown that detailed and accurate information about the mass spectrum of the massive Schwinger model can be obtained using the technique of strong-coupling series expansions. Extended strong-coupling series for the energy eigenvalues…

High Energy Physics - Lattice · Physics 2009-10-30 C. J. Hamer , Zheng Weihong , J. Oitmaa

The ladder-rainbow truncation of the set of Dyson-Schwinger equations is used to study the pion and kaon electromagnetic form factors and the $\gamma^\star \pi^0 \gamma$ transition form factor in impulse approximation. With model parameters…

Nuclear Theory · Physics 2009-11-06 P. Maris

We carry out a detailed study of the three-point fermion-photon interaction vertex at one loop order for massive fermions in reduced quantum electrodynamics. This calculation is carried out in arbitrary covariant gauges and space-time…

High Energy Physics - Phenomenology · Physics 2023-10-17 Victor Miguel Banda Guzmán , Adnan Bashir , Luis Albino , Dania Rodríguez-Tzintzun

We discuss the scaling behaviour of different fermion actions in dynamical simulations of the 2-dimensional massive Schwinger model. We have chosen Wilson, hypercube, twisted mass and overlap fermion actions. As physical observables, the…

High Energy Physics - Lattice · Physics 2010-04-05 N. Christian , K. Jansen , K. Nagai , B. Pollakowski

Within the framework of Dyson-Schwinger equations(DSEs) and by means of the Multiple Reflection Expansion approximation, we study the finite volume effects of the constituent quark mass in a strong external magnetic field. Since the…

High Energy Physics - Phenomenology · Physics 2025-08-19 Li-Juan Zhou , De-Xian Wei , Zhong-Yi Liu , Hong-Wei Zhong

We show that the wave function of a one dimensional spinor gas with contact $s$-wave interaction, either bosonic or fermionic, can be mapped to the direct product of the wave function of a spinless Fermi gas with short-range $p$-wave…

Quantum Gases · Physics 2016-09-13 Li Yang , Han Pu

We introduce a new method for representing the low energy subspace of a bosonic field theory on the qubit space of digital quantum computers. This discretization leads to an exponentially precise description of the subspace of the…

Quantum Physics · Physics 2018-10-17 Alexandru Macridin , Panagiotis Spentzouris , James Amundson , Roni Harnik

We investigate entanglement of strongly interacting fermions in spatially inhomogeneous environments. To quantify entanglement in the presence of spatial inhomogeneity, we propose a local-density approximation (LDA) to the entanglement…

Strongly Correlated Electrons · Physics 2008-03-24 V. V. França , K. Capelle

The entanglement between momentum modes of a quantum field theory at different scales is not as well studied as its counterpart in real space, despite the natural connection with the Wilsonian idea of integrating out the high-momentum…

High Energy Physics - Theory · Physics 2022-10-04 Matheus H. Martins Costa , Jeroen van den Brink , Flavio S. Nogueira , Gastão Krein

We derive an exact equation for simple self non-intersecting Wilson loops in non-abelian gauge theories with gauge fields interacting with fermions in 2-dimensional Euclidean space.

High Energy Physics - Theory · Physics 2009-11-07 Mofazzal Azam

A striking consequence of the Hohenberg-Kohn theorem of density functional theory is the existence of a bijection between the local density and the ground-state many-body wave function. Here we study the problem of constructing…

Disordered Systems and Neural Networks · Physics 2020-08-17 Javier Robledo Moreno , Giuseppe Carleo , Antoine Georges

We consider application of domain wall fermions to quarks with relatively heavy masses, aiming at precision calculations of charmed meson properties. Preliminary results for a few basic quantities are presented.

High Energy Physics - Lattice · Physics 2019-08-14 N. Yamada

The multi-loop amplitudes for the closed, oriented superstring are represented by finite dimensional integrals of explicit functions calculated through the super-Schottky group parameters and interaction vertex coordinates on the…

High Energy Physics - Theory · Physics 2007-05-23 G. S. Danilov

Considering Verlinde's entropic gravity proposal, we focus the effects of fermionic $q$ deformation on the Einstein's field equations and Friedmann equations. For this purpose, we represent the thermodynamical properties of the deformed…

General Relativity and Quantum Cosmology · Physics 2021-07-28 Mustafa Senay