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QCD with one compact spatial dimension
Author(s) -
Thomas DeGrand,
Roland Hoffmann
Publication year - 2007
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2007/02/022
Subject(s) - physics , homogeneous space , quantum chromodynamics , compactification (mathematics) , fermion , phase transition , quark , theoretical physics , invariant (physics) , particle physics , quantum mechanics , geometry , pure mathematics , mathematics
The realization of global symmetries can depend on the geometry of theunderlying space. In particular, compactification can lead to spontaneousbreaking of such symmetries. Four-dimensional QCD with fundamentalrepresentation fermions embedded in a space with one compact spatial dimensionhas a critical length, at which the theory undergoes a phase transition anddevelops a ground state that is no longer charge conjugation invariant. We showthis behavior with simulations of three color, four flavor QCD. We use unrootedstaggered fermion at two values of the lattice spacing and several quarkmasses. We discuss the dependence of the transition on the dynamical fermionmass as well as its connection to the finite temperature and chiral phasetransitions.Comment: 13 pages, 9 figures, JHEP styl

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