Rotor spectra and Berry phases in the chiral limit of QCD on a torus

Vlasii, Nadiia Dmytrivna; Wiese, Uwe-Jens (2018). Rotor spectra and Berry phases in the chiral limit of QCD on a torus. Physical review. D - particles, fields, gravitation, and cosmology, 97(11) American Physical Society 10.1103/PhysRevD.97.114029

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We consider the finite-volume spectra of QCD in the chiral limit of massless up and down quarks and massive strange quarks in the baryon number sectors B = 0 and B = 1 for different values of the isospin. Spontaneous symmetry breaking gives rise to rotor spectra, as the chiral order parameter precesses through the vacuum manifold. Baryons of different isospin influence the motion of the order parameter through nontrivial Berry phases and associated abstract monopole fields. Our investigation provides detailed insights into the dynamics of spontaneous chiral symmetry breaking in QCD on a torus. It also sheds new light on Berry phases in the context of quantum field theory. Interestingly, the Berry gauge field resulting from QCD solves a Yang-Mills-Chern-Simons equation of motion on the vacuum manifold SU(2) = S3.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Vlasii, Nadiia Dmytrivna and Wiese, Uwe-Jens

Subjects:

500 Science > 530 Physics

ISSN:

1550-7998

Publisher:

American Physical Society

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

07 Aug 2018 11:01

Last Modified:

23 Oct 2019 16:47

Publisher DOI:

10.1103/PhysRevD.97.114029

ArXiv ID:

1803.06158

BORIS DOI:

10.7892/boris.119114

URI:

https://boris.unibe.ch/id/eprint/119114

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