-
5
-
-
0001867464
-
-
C.V. Christov, A. Blotz, H.-C. Kim, P. Pobylitsa, T. Watabe, T. Meissner, E. Ruiz Arriola, and K. Goeke, Prog. Part. Nucl. Phys. 37, 91 (1996).
-
(1996)
Prog. Part. Nucl. Phys.
, vol.37
, pp. 91
-
-
Christov, C.V.1
Blotz, A.2
Kim, H.-C.3
Pobylitsa, P.4
Watabe, T.5
Meissner, T.6
Ruiz Arriola, E.7
Goeke, K.8
-
7
-
-
85039031039
-
-
G. Ripka, Quarks Bound by Chiral Fields (Clarendon, Oxford, 1997)
-
G. Ripka, Quarks Bound by Chiral Fields (Clarendon, Oxford, 1997).
-
-
-
-
9
-
-
85039009492
-
-
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
-
-
85039012732
-
-
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
-
-
85038986204
-
-
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).
-
-
-
-
22
-
-
0001184862
-
-
R.E. Cutkosky, P.V. Landshoff, D.I. Olive, and J. Polkinghorne, Nucl. Phys. B12, 281 (1969).
-
(1969)
Nucl. Phys.
, vol.B12
, pp. 281
-
-
Cutkosky, R.E.1
Landshoff, P.V.2
Olive, D.I.3
Polkinghorne, J.4
-
32
-
-
85039016142
-
-
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
-
-
85039006747
-
-
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
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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. 9.
-
-
-
-
36
-
-
85039009696
-
-
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
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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.
-
-
-
-
37
-
-
0000449529
-
-
W. Broniowski, G. Ripka, E.N. Nikolov, and K. Goeke, Z. Phys. A 354, 421 (1996).
-
(1996)
Z. Phys. A
, vol.354
, pp. 421
-
-
Broniowski, W.1
Ripka, G.2
Nikolov, E.N.3
Goeke, K.4
-
42
-
-
85038973823
-
-
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
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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
-
-
20644433082
-
-
The Jefferson Lab F(pi), J. Volmer Phys. Rev. Lett. 86, 1713 (2001).
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 1713
-
-
Volmer, J.1
-
51
-
-
85039017190
-
-
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
-
-
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).
-
-
-
-
63
-
-
4243355371
-
-
P.J. Sutton, A.D. Martin, R.G. Roberts, and W.J. Stirling, Phys. Rev. D 45, 2349 (1992).
-
(1992)
Phys. Rev. D
, vol.45
, pp. 2349
-
-
Sutton, P.J.1
Martin, A.D.2
Roberts, R.G.3
Stirling, W.J.4
-
69
-
-
85039008356
-
-
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
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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).
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70
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85038978845
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Obviously, (Formula presented) and (Formula presented) are gauge-dependent quantities. The data of Refs
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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.
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-
-
-
72
-
-
85039002068
-
-
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.
-
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