Clover improvement, spectrum and Atiyah-Singer index theorem for the Dirac operator on the lattice (CROSBI ID 248054)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Gattringer, Christof ; Hip, Ivan
engleski
Clover improvement, spectrum and Atiyah-Singer index theorem for the Dirac operator on the lattice
We study the role of the O(a)-improving clover term for the spectrum of the lattice Dirac oper ator using cooled and thermalized SU(2) gauge field configurations. For cooled configurations we observe improvement of the spectral properties when adding the clover term. For the thermalized case (12(4), beta = 2.4) without clover term we find a rather bad separation of physical and doubler branches making a probabilistic interpretation of the Atiyah-Singer index theorem on the lattice questionable for this beta and lattice size. Adding the clover term leads to the creation of additional real eigenvalues which come in pairs of opposite chirality thus further worsening the situation for the index theorem.
lattice field theory ; Dirac operator ; improvement ; Atiyah-Singer index theorem
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Podaci o izdanju
541 (1/2)
1999.
305-318
objavljeno
0550-3213
1873-1562
10.1016/s0550-3213(98)00826-8