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19922026
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61 papers · 1 filter

math-ph2022★ 2 cited

Particle models from special Jordan backgrounds and spectral triples

Fabien Besnard, Shane Farnsworth

We put forward a definition for spectral triples and algebraic backgrounds based on Jordan coordinate algebras. We also propose natural and gauge-invariant bosonic configuration sp…

math-ph2020★ 4 cited

Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt's Theorem

Felix Finster, Claudio F. Paganini

We prove quantitative versions of the following statement: If a solution of the 1+1-dimensional wave equation has spatially compact support and consists mainly of positive frequenc…

math-ph2020★ 6 cited

Causal Fermion Systems and the ETH Approach to Quantum Theory

Felix Finster, Jürg Fröhlich, Marco Oppio +1

After reviewing the theory of "causal fermion systems" (CFS theory) and the "Events, Trees, and Histories Approach" to quantum theory (ETH approach), we compare some of the mathema…

math-ph2020★ 9 cited

Gauge Symmetries and Renormalization

David Prinz

We study the perturbative renormalization of quantum gauge theories in the Hopf algebra setup of Connes and Kreimer. It was shown by van Suijlekom (2007) that the quantum counterpa…

math-ph2019★ 20 cited

The Zilch Electromagnetic Conservation Law Revisited

Sajad Aghapour, Lars Andersson, Kjell Rosquist

It is shown that the zilch conservation law arises as the Noether current corresponding to a variational symmetry of a duality-symmetric Maxwell Lagrangian. The action of the corre…

math-ph2018★ 6 cited

On deformations of -algebras

Alexey A. Sharapov, Evgeny D. Skvortsov

A simple method is proposed for deforming -algebras by means of the resolution technique. The method is then applied to the associative algebras of polynomial functions o…

math-ph2018★ 6 cited

Pentagon identities arising in supersymmetric gauge theory computations

Deniz N. Bozkurt, Ilmar Gahramanov

The partition functions of three-dimensional N=2 supersymmetric gauge theories on different manifolds can be expressed as q-hypergeometric integrals. By comparing the partition fun…

math-ph2018★ 6 cited

A simple construction of associative deformations

Alexey A. Sharapov, Evgeny D. Skvortsov

We propose a simple approach to formal deformations of associative algebras. It exploits the machinery of multiplicative coresolutions of an associative algebra A in the category o…

math-ph2017★ 13 cited

Integrable lattice spin models from supersymmetric dualities

Ilmar Gahramanov, Shahriyar Jafarzade

Recently, there has been observed an interesting correspondence between supersymmetric quiver gauge theories with four supercharges and integrable lattice models of statistical mec…

math-ph2016★ 36 cited

The star-triangle relation, lens partition function, and hypergeometric sum/integrals

Ilmar Gahramanov, Andrew P. Kels

The aim of the present paper is to consider the hyperbolic limit of an elliptic hypergeometric sum/integral identity, and associated lattice model of statistical mechanics previous…

math-ph2016

Near integrability of kink lattice with higher order interactions

Yunguo Jiang, Jiazhen Liu, Song He

In the paper, we make use of Manton's analytical method to investigate the force between kink and the anti-kink with large distance in dimensional field theory. The related p…

math-ph2016★ 13 cited

The graded product of real spectral triples

Shane Farnsworth

Forming the product of two geometric spaces is one of the most basic operations in geometry, but in the spectral-triple formulation of non-commutative geometry, the standard prescr…

math-ph2016★ 1 cited

Spherically symmetric potential in noncommutative spacetime with a compactified extra dimensions

Sêcloka Lazare Guedezounme, Antonin Danvidé Kanfon, Dine Ousmane Samary

The Schrödinger equation of the spherical symmetry quantum models such as the hydrogen atom problem seems to be analytically non-solvable in higher dimensions. When we try to compa…

math-ph2015

High Energy Scattering in Higher Dimensional Theories

Jnanadeva Maharana

The high energy behavior of scattering amplitudes in spacetime dimensions, , is investigated. The bound on total cross sections, , has…

math-ph2013★ 43 cited

Bethe Ansatz for Yangian Invariants: Towards Super Yang-Mills Scattering Amplitudes

Rouven Frassek, Nils Kanning, Yumi Ko +1

We propose that Baxter's Z-invariant six-vertex model at the rational gl(2) point on a planar but in general not rectangular lattice provides a way to study Yangian invariants. The…

math-ph2013★ 6 cited

Coherent states, 6j symbols and properties of the next to leading order asymptotic expansions

Wojciech Kaminski, Sebastian Steinhaus

We present the first complete derivation of the well-known asymptotic expansion of the SU(2) 6j symbol using a coherent state approach, in particular we succeed in computing the de…

math-ph2013★ 146 cited

Melons are branched polymers

Razvan Gurau, James P. Ryan

Melonic graphs constitute the family of graphs arising at leading order in the 1/N expansion of tensor models. They were shown to lead to a continuum phase, reminiscent of branched…

math-ph2013★ 65 cited

Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups

Carlos Guedes, Daniele Oriti, Matti Raasakka

The phase space given by the cotangent bundle of a Lie group appears in the context of several models for physical systems. A representation for the quantum system in terms of non-…

math-ph2013★ 9 cited

Solutions of the Klein-Gordon equation in an infinite square-well potential with a moving wall

Michael Koehn

Employing a transformation to hyperbolic space, we derive in a simple way exact solutions for the Klein-Gordon equation in an infinite square-well potential with one boundary movin…

math-ph2012★ 11 cited

The Tetrahedron Zamolodchikov Algebra and the AdS5 x S5 S-matrix

Vladimir Mitev, Matthias Staudacher, Zengo Tsuboi

The S-matrix of the string theory is a tensor product of two centrally extended su(2|2) S-matrices, each of which is related to the R-matrix of the Hubbard model…

math-ph2012

A note on the principle of least action and Dirac matrices

Maciej Trzetrzelewski

Many Lagrangians of physical theories can be expressed as eigenvalues of certain, relatively simple, matrices involving Dirac gamma matrices. We give concrete examples for Lagrangi…

math-ph2012★ 2 cited

Matrix regularization of embedded 4-manifolds

Maciej Trzetrzelewski

We consider products of two 2-manifolds such as S^2 x S^2, embedded in Euclidean space and show that the corresponding 4-volume preserving diffeomorphism algebra can be approximate…

math-ph2012★ 10 cited

T-duality of current algebras and their quantization

Pedram Hekmati, Varghese Mathai

In this paper we show that the T-duality transform of Bouwknegt, Evslin and Mathai applies to determine isomorphisms of certain current algebras and their associated vertex algebra…

math-ph2012★ 28 cited

Momentum transforms and Laplacians in fractional spaces

Gianluca Calcagni, Giuseppe Nardelli

We define an infinite class of unitary transformations between position and momentum fractional spaces, thus generalizing the Fourier transform to a special class of fractal geomet…