Pregled bibliografske jedinice broj: 923436
Clover improvement, spectrum and Atiyah-Singer index theorem for the Dirac operator on the lattice
Clover improvement, spectrum and Atiyah-Singer index theorem for the Dirac operator on the lattice // Nuclear physics. B, 541 (1999), 1/2; 305-318 doi:10.1016/s0550-3213(98)00826-8 (međunarodna recenzija, članak, znanstveni)
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Naslov
Clover improvement, spectrum and Atiyah-Singer index theorem for the Dirac operator on the lattice
Autori
Gattringer, Christof ; Hip, Ivan
Izvornik
Nuclear physics. B (0550-3213) 541
(1999), 1/2;
305-318
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
lattice field theory ; Dirac operator ; improvement ; Atiyah-Singer index theorem
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts
- DOAJ
