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A new approach to nonperturbative calculations in quantum electrodynamics is proposed. The approach is based on a regular iteration scheme for solution of Schwinger-Dyson equations for generating functional of Green functions. The approach…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. E. Rochev

Implementing Wilsonian renormalization group transformations in an iterative way, we develop a non-perturbative field theoretical framework, which takes into account all-loop quantum corrections organized in the $1/N$ expansion, where $N$…

High Energy Physics - Theory · Physics 2019-05-29 Ki-Seok Kim , Suk Bum Chung , Chanyong Park , Jaeho Han

The Global Color-symmetry Model of QCD is extended to deal with a background electromagnetic field and the associated conserved current is identified for composite $\bar{q}q$ pion modes of the model. Although the analysis is limited to tree…

Nuclear Theory · Physics 2008-11-26 M. R. Frank , P. C. Tandy

The relationship between the nonperturbative Green's functions of Yang-Mills theory and the confinement potential is investigated. By rewriting the generating functional of quantum chromodynamics in terms of a heavy quark mass expansion in…

High Energy Physics - Theory · Physics 2015-03-13 C. Popovici , P. Watson , H. Reinhardt

Motivated by the exotic phenomenology of certain quantum materials and recent advances in programmable quantum emulators, we here study fermions and bosons in $\mathbb Z_N$ lattice gauge theories. We introduce a family of exactly soluble…

Strongly Correlated Electrons · Physics 2023-08-28 Kaustubh Roy , Elio J. König

A new approximation scheme for non-perturbative calculations in a quantum field theory is proposed. The scheme is based on investigation of solutions of the Schwinger equation with its singular character taken into account. As a necessary…

High Energy Physics - Theory · Physics 2016-09-06 V. E. Rochev , P. A. Saponov

We develop a new approach to study the nonlinear evolution in the large-scale structure of the Universe both in real space and in redshift space, extending the standard perturbation theory of gravitational instability. Infinite series of…

Astrophysics · Physics 2008-11-26 Takahiko Matsubara

Constraints on cosmological parameters from large-scale structure have traditionally been obtained from two-point statistics. However, non-linear structure formation renders these statistics insufficient in capturing the full information…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-22 Alex Hall , Alexander Mead

We work out the perturbative expansion of quantum Liouville theory on the pseudosphere starting from the semiclassical limit of a background generated by heavy charges. By solving perturbatively the Riemann-Hilbert problem for the Poincare'…

High Energy Physics - Theory · Physics 2009-11-11 Pietro Menotti , Erik Tonni

We extend Shen's recent formulation (arXiv:1806.07388) of the classical double copy, based on explicit color-kinematic duality, to the case of finite-size sources with non-zero spin. For the case of spinning Yang-Mills sources, the most…

High Energy Physics - Theory · Physics 2020-02-26 Walter D. Goldberger , Jingping Li

In the worldline approach to non-Abelian field theory the colour degrees of freedom of the coupling to the gauge potential can be incorporated using worldline "colour" fields. The colour fields generate Wilson loop interactions whilst…

High Energy Physics - Theory · Physics 2018-08-29 James P. Edwards , Olindo Corradini

Scattering amplitudes in Yang-Mills theory are known to exhibit kinematic structures which hint to an underlying kinematic algebra that is dual to the gauge group color algebra. This color-kinematics duality is still poorly understood in…

High Energy Physics - Theory · Physics 2024-01-02 Maor Ben-Shahar , Lucia Garozzo , Henrik Johansson

In this work, we investigate radiative corrections in the higher-order extension of the Maxwell-Chern-Simons model coupled to standard spinor matter in $2+1$ dimensions. We begin analyzing the higher-order gauge sector, where we find the…

High Energy Physics - Theory · Physics 2025-09-01 Ricardo Avila , Albert Yu. Petrov , Carlos M. Reyes , César Riquelme , Angel Sanchez

Using the probe brane construction of higher derivative effective field theories, extended to higher co-dimensions and curved spaces, we construct galileon and DBI theories on de Sitter space with N fields and an so(N) internal symmetry,…

High Energy Physics - Theory · Physics 2025-05-16 Alice Garoffolo , Kurt Hinterbichler , Mark Trodden

Considering bilayer systems as extensions of the planar ones by an internal space of two discrete points, we use the ideas of Noncommutative Geometry to construct the gauge theories for these systems. After integrating over the discrete…

High Energy Physics - Theory · Physics 2009-10-28 Varghese John , Nguyen Ai Viet , Kameshwar C. Wali

The purpose of this article is to initiate a study of a class of Lorentz invariant, yet tractable, Lagrangian Field Theories which may be viewed as an extension of the Klein-Gordon Lagrangian to many scalar fields in a novel manner. These…

High Energy Physics - Theory · Physics 2009-11-07 David B. Fairlie , Tatsuya Ueno

A light scalar degree of freedom, as the one possibly responsible for the accelerated expansion of the Universe, could leave observable traces in the inspiral gravitational wave signal of binary systems. In order to study these effects, we…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Adrien Kuntz , Federico Piazza , Filippo Vernizzi

Vortices in supersymmetric gauge field theory are important constructs in a basic conceptual phenomenon commonly referred to as the dual Meissner effect which is responsible for color confinement. Based on a direct minimization approach, we…

High Energy Physics - Theory · Physics 2015-05-28 Elliott H. Lieb , Yisong Yang

A generating functional $F$ is found for a canonical nonabelian dual transformation which maps the supersymmetric chiral O(4) $\sigma$-model to an equivalent supersymmetric extension of the dual $\sigma$-model. This $F$ produces a mapping…

High Energy Physics - Theory · Physics 2016-09-06 Thomas Curtright , Cosmas Zachos

Recent works have explored non-perturbative effects due to the existence of (infinitesimal) Gribov copies in Yang-Mills-Chern-Simons theories in three Euclidean dimensions. In particular, the removal of such copies modify the gauge field…

High Energy Physics - Theory · Physics 2021-08-25 Luigi C. Ferreira , Diego R. Granado , Igor F. Justo , Antonio D. Pereira