Gauge invariant quark Green’s functions with polygonal Wilson lines
Autor: | H. Sazdjian |
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Přispěvatelé: | Institut de Physique Nucléaire d'Orsay (IPNO), Université Paris-Sud - Paris 11 (UP11)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS) |
Rok vydání: | 2014 |
Předmět: |
Quark
Physics Quantum chromodynamics Nuclear and High Energy Physics Wilson loop [PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th] High Energy Physics::Lattice Mathematical analysis Spectral properties Computer Science::Computational Geometry Gluon Green S chemistry.chemical_compound chemistry Quantum mechanics Invariant (mathematics) |
Zdroj: | Fizika Elementarnykh Chastits i Atomnogo Yadra / Physics of Particles and Nuclei Fizika Elementarnykh Chastits i Atomnogo Yadra / Physics of Particles and Nuclei, MAIK Nauka/Interperiodica, 2014, 45, pp.782-787. ⟨10.1134/S1063779614040133⟩ |
ISSN: | 1531-8559 1063-7796 |
Popis: | International audience; Properties of gauge invariant two-point quark Green’s functions, defined with polygonal Wilson lines, are studied. The Green’s functions can be classified according to the number of straight line segments their polygonal lines contain. Functional relations are established between the Green’s functions with different numbers of segments on the polygonal lines. An integrodifferential equation is obtained for the Green’s function with one straight line segment, in which the kernels are represented by a series of Wilson loop vacuum averages along polygonal contours with an increasing number of segments and functional derivatives on them. The equation is exactly solved in the case of two-dimensional QCD in the large-N c limit. The spectral properties of the Green’s function are displayed. |
Databáze: | OpenAIRE |
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