Quark-mass dependence of T{sub c} in QCD: Working up from m=0 or down from m={infinity}?
- Institut fuer Theoretische Physik, J. W. Goethe Universitaet, Postfach 11 19 32, D-60054 Frankfurt (Germany)
We analyze the dependence of the QCD transition temperature on the quark (or pion) mass. We find that a linear sigma model, which links the transition to chiral symmetry restoration, predicts a much stronger dependence of T{sub c} on m{sub {pi}} than seen in present lattice data for m{sub {pi}} > or approx. 0.4 GeV. On the other hand, working down from m{sub {pi}}={infinity}, an effective Lagrangian for the Polyakov loop requires only small explicit symmetry breaking, b{sub 1}{approx}exp(-m{sub {pi}}), to describe T{sub c}(m{sub {pi}}) in the above mass range. Physically, this is a consequence of the flat potential (large correlation length) for the Polyakov loop in the three-color pure gauge theory at T{sub c}. We quantitatively estimate the end point of the line of first-order deconfining phase transitions: m{sub {pi}}{approx_equal}4.2{radical}({sigma}){approx_equal}1.8 GeV and T{sub c}{approx_equal}240 MeV for three flavors and three colors.
- OSTI ID:
- 20705325
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 7; Other Information: DOI: 10.1103/PhysRevD.70.074001; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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BAG MODEL
CHIRAL SYMMETRY
CORRELATIONS
GAUGE INVARIANCE
GEV RANGE
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
LATTICE FIELD THEORY
MASS FORMULAE
MEV RANGE
PHASE TRANSFORMATIONS
PIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUARKS
REST MASS
SIGMA MODEL
SYMMETRY BREAKING
TRANSITION TEMPERATURE