The θ-dependence of the Yang-Mills spectrum from analytic continuation

A bstract We study the θ -dependence of the string tension and of the lightest glueball mass in four-dimensional SU( N ) Yang-Mills theories. More precisely, we focus on the coefficients parametrizing the O θ 2 dependence of these quantities, which we investigate by means of numerical simulations of...

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Bibliographic Details
Published in:The journal of high energy physics Vol. 2024; no. 5; pp. 163 - 23
Main Authors: Bonanno, Claudio, Bonati, Claudio, Papace, Mario, Vadacchino, Davide
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 14.05.2024
Springer Nature B.V
SpringerOpen
Subjects:
1/N Expansion
Algorithms
Boundary conditions
Classical and Quantum Gravitation
Elementary Particles
Energy
Freezing
Lattice Quantum Field Theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Simulation
String Theory
Vacuum Structure and Confinement
Vacuum Structure and Confinement
Lattice Quantum Field Theory
1
Expansion
ISSN:1029-8479, 1029-8479
Online Access:Get full text
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Summary:A bstract We study the θ -dependence of the string tension and of the lightest glueball mass in four-dimensional SU( N ) Yang-Mills theories. More precisely, we focus on the coefficients parametrizing the O θ 2 dependence of these quantities, which we investigate by means of numerical simulations of the lattice-discretized theory, carried out using imaginary values of the θ parameter. Topological freezing at large N is avoided using the Parallel Tempering on Boundary Conditions algorithm. We provide controlled continuum extrapolations of such coefficients in the N = 3 case, and we report the results obtained on two fairly fine lattice spacings for N = 6.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2024)163