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Volumn 67, Issue 7, 2003, Pages

Spectral quark model and low-energy hadron phenomenology

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHIRALITY; ELECTROMAGNETIC FIELD; ENERGY; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PHENOMENOLOGY; PHYSICAL PARAMETERS; PHYSICS; PREDICTION; TECHNIQUE; VELOCITY;

EID: 0038439591     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.67.074021     Document Type: Article
Times cited : (96)

References (72)
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    • G. Ripka, Quarks Bound by Chiral Fields (Clarendon, Oxford, 1997)
    • G. Ripka, Quarks Bound by Chiral Fields (Clarendon, Oxford, 1997).
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    • C. Itzykson and J. B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980)
    • C. Itzykson and J. B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
  • 12
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    • E. Ruiz Arriola, in Proceedings of the Workshop on Lepton Scattering Hadrons and QCD AdelaideAustralia2001, edited by W. Melnitchouk, A. Schreiber, P. Tandy, and A. W. Thomas (World Scientific, Singapore, 2001)
    • E. Ruiz Arriola, in Proceedings of the Workshop on Lepton Scattering, Hadrons and QCD, Adelaide, Australia, 2001, edited by W. Melnitchouk, A. Schreiber, P. Tandy, and A. W. Thomas (World Scientific, Singapore, 2001).
  • 14
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    • R. L. Jaffe, in Proceedings of the Los Alamos School1985, edited by M. B. Johnson and A. Picklesimer (Wiley, New York, 1986)
    • R. L. Jaffe, in Proceedings of the Los Alamos School, 1985, edited by M. B. Johnson and A. Picklesimer (Wiley, New York, 1986).
  • 32
    • 85039016142 scopus 로고    scopus 로고
    • B. Renner, Current Algebras and Their Applications (Pergamon Press, New York, 1968)
    • B. Renner, Current Algebras and Their Applications (Pergamon Press, New York, 1968).
  • 35
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    • Our conventions are as follows: We take (Formula presented) for ingoing and (Formula presented) for outgoing particles. For free massless particles the irreducible functions are normalized according to (Formula presented) and (Formula presented) The convention for the Dirac matrices and the metric tensor is the one of Ref
    • Our conventions are as follows: We take (Formula presented) for ingoing and (Formula presented) for outgoing particles. For free massless particles the irreducible functions are normalized according to (Formula presented) and (Formula presented) The convention for the Dirac matrices and the metric tensor is the one of Ref. 9.
  • 36
    • 85039009696 scopus 로고    scopus 로고
    • The use of the dimensional regularization guarantees gauge invariance, with no further subtractions, hence for simplicity we use it throughout the paper in the applications with vector and axial currents
    • The use of the dimensional regularization guarantees gauge invariance, with no further subtractions, hence for simplicity we use it throughout the paper in the applications with vector and axial currents.
  • 42
    • 85038973823 scopus 로고    scopus 로고
    • For instance, a modification of the vector vertex by providing additional tensor coupling is capable of curing the problem of the second Weinberg sum rule. This important issue will be studied elsewhere
    • For instance, a modification of the vector vertex by providing additional tensor coupling is capable of curing the problem of the second Weinberg sum rule. This important issue will be studied elsewhere.
  • 47
  • 51
    • 85039017190 scopus 로고    scopus 로고
    • A.E. Dorokhov, talk presented at the 37th Rencontres de Moriond on QCD and Hadronic Interactions, Les Arcs, France, 2002, hep-ph/0206088.
    • Dorokhov, A.E.1
  • 61
    • 85038998965 scopus 로고    scopus 로고
    • J. R. Ellis, in Les Houches 1976, Proceedings, Weak and Electromagnetic Interactions At High Energies, Amsterdam, 1977, pp. 1–114 and report—ELLIS J (76, REC.JAN 77)
    • J. R. Ellis, in Les Houches 1976, Proceedings, Weak and Electromagnetic Interactions At High Energies, Amsterdam, 1977, pp. 1–114 and report—ELLIS J (76, REC.JAN 77).
  • 69
    • 85039008356 scopus 로고    scopus 로고
    • If one extrapolates (Formula presented) to the real axis, as suggested by the standard Lehmann representation, Eq. (2.2), there appear, for (Formula presented) end-point non-integrable singularities at the branch points (Formula presented) If one insists on a real spectral function, one may do so but then one has to proceed by analytic continuation in (Formula presented) or derivation with respect to (Formula presented) after computing the (Formula presented) integral. Alternatively, this is equivalent to a distributional interpretation of the spectral function (Formula presented) and its (generalized) derivatives using the well known distribution (Formula presented) (see, e.g., the classical work
    • If one extrapolates (Formula presented) to the real axis, as suggested by the standard Lehmann representation, Eq. (2.2), there appear, for (Formula presented) end-point non-integrable singularities at the branch points (Formula presented) If one insists on a real spectral function, one may do so but then one has to proceed by analytic continuation in (Formula presented) or derivation with respect to (Formula presented) after computing the (Formula presented) integral. Alternatively, this is equivalent to a distributional interpretation of the spectral function (Formula presented) and its (generalized) derivatives using the well known distribution (Formula presented) (see, e.g., the classical work 71 for a rigorous discussion).
  • 70
    • 85038978845 scopus 로고    scopus 로고
    • Obviously, (Formula presented) and (Formula presented) are gauge-dependent quantities. The data of Refs
    • Obviously, (Formula presented) and (Formula presented) are gauge-dependent quantities. The data of Refs. 1819 correspond to the Landau and Laplacian gauges. A natural question arises where our results incorporate the choice of the QCD gauge at the microscopic level. We notice two sources of ambiguities in our approach: the arbitrariness of the transverse terms in the solutions to the Ward-Takahashi identities, as well as the choice of the scalar quark spectral function. It remains to be seen how these choices reflect the underlying QCD gauge.
  • 72
    • 85039002068 scopus 로고    scopus 로고
    • I. M. Gel’fand and G. E. Shilov, Generalized Functions (Academic, New York, 1964), Vol. 1
    • I. M. Gel’fand and G. E. Shilov, Generalized Functions (Academic, New York, 1964), Vol. 1.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.