The mass of the Delta resonance in a finite volume: fourth-order calculation

Autor: Ulf-G. Meißner, D. Hoja, Véronique Bernard, Akaki Rusetsky
Přispěvatelé: Institut de Physique Nucléaire d'Orsay (IPNO), Centre National de la Recherche Scientifique (CNRS)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Université Paris-Sud - Paris 11 (UP11)
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Quark
Nuclear and High Energy Physics
Scale (ratio)
[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th]
High Energy Physics::Lattice
Lattice field theory
Nuclear Theory
FOS: Physical sciences
Lattice QCD
01 natural sciences
Resonance (particle physics)
finite size [correction]
High Energy Physics - Phenomenology (hep-ph)
High Energy Physics - Lattice
0103 physical sciences
quantum chromodynamics
Effective field theory
mass [quark]
ddc:530
010306 general physics
numerical calculations
chiral [effective field theory]
mass [Delta(1232)]
Quantum chromodynamics
Physics
Finite volume method
Lattice Quantum Field Theory
010308 nuclear & particles physics
High Energy Physics - Lattice (hep-lat)
High Energy Physics::Phenomenology
lattice field theory
low-energy constant
High Energy Physics - Phenomenology
parametrization [energy spectrum]
3/2 [spin]
Quantum electrodynamics
Chiral Lagrangians
pi nucleon
propagator [Delta(1232)]
Zdroj: Journal of High Energy Physics
Journal of High Energy Physics, Springer, 2009, 06(2009), pp.061. ⟨10.1088/1126-6708/2009/06/061⟩
Journal of high energy physics 2009, 061 (2009). doi:10.1088/1126-6708/2009/06/061
ISSN: 1126-6708
1029-8479
DOI: 10.1088/1126-6708/2009/06/061⟩
Popis: We calculate the self-energy of the Delta (1232) resonance in a finite volume, using chiral effective field theory with explicit spin-3/2 fields. The calculations are performed up-to-and-including fourth order in the small scale expansion and yield an explicit parameterization of the energy spectrum of the interacting pion-nucleon pair in a finite box in terms of both the quark mass and the box size L. It is shown that finite-volume corrections can be sizeable at small quark masses.
21 pages, 7 figures
Databáze: OpenAIRE