Abstract
A path integral with diquark currents is continued into Euclidean space, and the chiral and conformal anomalies are calculated. The chiral anomaly is integrated to the anomaly action, on the basis of which additional terms of the pion chiral action that depend on the diquark currents are obtained.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Gell-Mann,Phys. Lett.,8, 214 (1964).
M. Ida and R. Kobayashi,Prog. Theor. Phys.,36, 846 (1966); D. B. Lichtenberg and L. J. Tassie,Phys. Rev.,155, 1601 (1967); C. Rosenzweig,Phys. Rev. Lett.,36, 697 (1976); A. V. Hendry and I. Hinchliffe,Phys. Rev. Lett. 36, 3453 (1976); S. Fredriksson and M. Jandel,Z. Phys. C,10, 41 (1982); S. Fredriksson, M. Jandel, and T. I. Larsson,Z. Phys. C,14, 35 (1982).
M. Szczekowski,Int. J. Mod. Phys. A,4, 3985 (1989).
M. Anselmino, E. Predazzi, S. Ekelin, S. Fredriksson, and D. B. Lichtenberg,Diquarks 92 — A Literature Survey, Lulea University of Technology, Sweden.
S. J. Brodsky and G. R. Farrar,Phys. Rev. Lett.,31, 1153 (1975);Phys. Rev. D,11, 1309 (1975); S. J. Brodsky and G. R. Lepage,Phys. Rev. D,24, 1808, 2848 (1981); P. Kroll, Preprint CERN-TH.4983/88.
B. Stech,Phys. Rev. D,36, 975 (1987); H. G. Dosch, M. Jamin, and B. Stech,Z. Phys. C,42, 167 (1989); B. Stech,Mod. Phys. Lett. A,4, 3113 (1991).
G. V. Efimov, M. A. Ivanov, and V. E. Lyubovitskij,Z. Phys. C,47, 583 (1990).
J. D. Stack,Phys. Rev. D,27, 412 (1983).
N. Isgur,Acta Phys. Polon. B,8, 1081 (1977).
N. Isgur and G. Karl,Phys. Rev. D,21, 3175 (1980).
R. D. Carlitz, S. D. Ellis, and R. Savit,Phys. Lett. D,37, 443 (1977); N. Isgur, G. Karl, and D. W. L. Sprung,Phys. Rev. D,23, 163 (1981); Z. Dziembowski, W. J. Metzger, and R. T. Van de Walle,Z. Phys. C,10, 231 (1981).
T. Eguchi,Phys. Lett B,59, 457 (1975); A. Martin,Z. Phys. C,32, 359 (1986); E. B. Berdnikov and G. P. Pron'ko,Int. J. Mod. Phys. A,7, 3311 (1992).
R. T. Cahill, in:Workshop on Diquarks, M. Anselmino and E. Predazzi, eds., World Scientific, Singapore (1988), p. 201; R. T. Cahill,Aust. J. Phys.,42, 171 (1989); C. J. Burden, R. T. Cahill, and J. Praschifka,Aust. J. Phys.,42, 161 (1989).
R. T. Cahill and C. D. Roberts,Aust. J. Phys.,40, 499 (1987); R. T. Cahill and C. D. Roberts,Phys. Rev. D,32, 2419 (1985); J. Praschifka, R. T. Cahill, and C. D. Roberts,Int. J. Mod. Phys. A,4, 4929 (1989).
D. Kahana and V. Vogl,Phys. Lett. B,244, 10 (1990).
S. L. Adler,Phys. Rev.,177, 2426 (1969); J. B. Bell and R. Jackiw,Nuovo Cimento,60, 147 (1969); W. A. Bardeen,Phys. Rev.,184, 147 (1969).
K. Fujikawa,Phys. Rev. D,21, 2848 (1980).
A. A. Andrianov, V. A. Andrianov, V. Yu. Novozhilov, and Yu. V. Novozhilov,Lett. Math. Phys.,11, 217 (1986).
A. A. Andrianov and L. Bonora,Nucl. Phys. B,233, 232 (1984).
A. A. Andrianov, V. A. Andrianov, V. Yu. Novczhilov, and Yu. V. Novoshilov,Phys. Lett. B,203, 160 (1988).
A. A. Andrianov, V. A. Andrianov, V. Yu. Novozhilov, and Yu. V. Novozhilov,Phys. Lett. B,180, 401 (1987).
J. Wess and B. Zumino,Phys. Lett. B,37, 95 (1971); E. Witten,Nucl. Phys. B,223, 422 (1983).
R. Ball,Phys. Rep.,182, 1 (1989).
Additional information
State University, St. Petersburg. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 101, No. 2, pp. 211–224, November, 1994.
Rights and permissions
About this article
Cite this article
Vasilevich, D.V., Novozhilov, Y.V. & Pron'ko, A.G. Chiral and conformal anomalies of a quark path integral with diquark currents. Theor Math Phys 101, 1303–1312 (1994). https://doi.org/10.1007/BF01018278
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01018278