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Volumn 61, Issue 5, 2000, Pages

Temperature in fermion systems and the chiral fermion determinant

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EID: 33750548710     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (1)

References (38)
  • 16
    • 33750562675 scopus 로고    scopus 로고
    • note
    • When we apply this formula in Eq. (2), we must pay care to zero modes of D. Generally this point is related to the fixing of local (gauge) symmetry and the regularization of the infrared behavior. In the present case, there exists no problem in this respect. See Chap. IV of Ref. [15].
  • 20
    • 26744450269 scopus 로고
    • Phys. Rev. Lett. 44, 1733 (1980);
    • (1980) Phys. Rev. Lett. , vol.44 , pp. 1733
  • 21
    • 4243648786 scopus 로고
    • Phys. Rev. D 21, 2848 (1980);
    • (1980) Phys. Rev. D , vol.21 , pp. 2848
  • 22
    • 33744577255 scopus 로고
    • Phys. Rev. D 22, 1499(E) (1980).
    • (1980) Phys. Rev. D , vol.22 , pp. 1499
  • 25
    • 85107712855 scopus 로고    scopus 로고
    • note
    • a) in (1 +4)-dimensional Minkowski space.
  • 26
    • 33750555876 scopus 로고    scopus 로고
    • note
    • Here we introduce two independent regularization parameters M and A/' in order to stress that the two domains are defined not by (the sign of) the (1+4)-dimensional fermion mass but by the relation (14). This point distinguishes the present formalism from the original overlap formalism. We will soon take M = M' for simplicity.
  • 29
    • 85107714874 scopus 로고    scopus 로고
    • a).
    • a).
  • 30
    • 85107712057 scopus 로고    scopus 로고
    • note
    • μ.
  • 31
    • 85107714473 scopus 로고    scopus 로고
    • note
    • 5 + ik.
  • 32
    • 85107713881 scopus 로고    scopus 로고
    • note
    • 1 (circle). In the present case, however, the extra space can not be compactified since it is known, in the lattice formalism, that the fermion doubler appears in the case when the periodic boundary condition is imposed on the extra space [4].
  • 33
    • 85107713320 scopus 로고    scopus 로고
    • note
    • μ|→ + ∞ that of the ultraviolet regularization. In the sense that both the ultraviolet and the infrared cutoffs exist, the present regularization is similar to the lattice regularization.
  • 35
    • 85107711999 scopus 로고    scopus 로고
    • 0 integral in Eq. (37), and the final anomaly result depends on it
    • 0 integral in Eq. (37), and the final anomaly result depends on it.
  • 36
    • 85107714837 scopus 로고    scopus 로고
    • note
    • 2/M≤1. In this sense, the third stage condition (29) is used in a loosened way. We regard it as a part of regularization. The same thing can be said for the evaluation of Eq. (44).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.