Temperature in fermion systems and the chiral fermion determinant
نویسندگان
چکیده
منابع مشابه
Temperature in Fermion Systems and the Chiral Fermion Determinant
We give an interpretation to the issue of the chiral determinant in the heatkernel approach. The extra dimension (5-th dimension) is interpreted as (inverse) temperature. The 1+4 dim Dirac equation is naturally derived by the Wick rotation for the temperature. In order to define a “good” temperature, we choose those solutions of the Dirac equation which propagate in a fixed direction in the ext...
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One -loop fermion determinant is discussed for the case in which dynamical chiral symmetry breaking caused by momentum dependent fermion self energy Σ(p2) take place. The obtained series generalizes the heat kernel expansion for hard fermion mass. PACS number(s): 03.65.Db, 11.10Ef, 11.30.Rd, 12.39.Fe In quantum field theory, 1-loop quantum correction of fermions is from fermion determinant. It ...
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The fermion determinant and the chiral anomaly of lattice Dirac operator D on a finite lattice are investigated. The condition for D to reproduce correct chiral anomaly at each site of a finite lattice for smooth background gauge fields is that D possesses exact zero modes satisfying the Atiyah-Singer index theorem. This is also the necessary condition forD to have correct fermion determinant (...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2000
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.61.055001