Journal
MODERN PHYSICS LETTERS A
Volume 31, Issue 36, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217732316300421
Keywords
QCD sum rules; finite temperature; up- and down-quark masses
Categories
Funding
- National Research Foundation (South Africa)
- University of Cape Town
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The temperature dependence of the sum of the QCD up- and down-quark masses, (m(u) + m(d)) and the pion decay constant, f(pi), are determined from two thermal finite energy QCD sum rules for the pseudoscalar-current correlator. This quark mass remains mostly constant for temperatures well below the critical temperature for deconfinement/chiral-symmetry restoration. As this critical temperature is approached, the quark mass increases sharply with increasing temperature. This increase is far more pronounced if the temperature dependence of the pion mass (determined independently from other methods) is taken into account. The behavior of f(pi)(T) is consistent with the expectation from chiral symmetry, i.e. that it should follow the thermal dependence of the quark condensate, independently of the quark mass.
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