Nonlocal-symmetry Ward identities

Thomas L. Curtright; Cosmas K. Zachos

doi:10.1103/PhysRevD.24.2661

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Nonlocal-symmetry Ward identities

Thomas L. Curtright

Cosmas K. Zachos^*

Physics Department, University of Florida, Gainesville, Florida 32611

Physics Department, University of Wisconsin, Madison, Wisconsin 53706

^*Present address: Theory Group, Fermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510.

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Phys. Rev. D 24, 2661 – Published 15 November, 1981

DOI: https://doi.org/10.1103/PhysRevD.24.2661

Abstract

We derive and discuss Ward identities associated with the nonlocal symmetry found in certain two-dimensional field theories. We show the identities are satisfied by the fermion propagator in the presence of the dynamical mass generation occurring in the $O (N)$ Gross-Neveu model as $N \to \infty$ .

References (16)

M. Luscher and K. Pohlmeyer, Nucl. Phys. B137, 46 (1978)
B. Berg and P. H. Weisz, Nucl. Phys. B146, 205 (1978) E. Brezin, C. Itzykson, J. Zinn-Justin, and J.-B. Zuber, Phys. Lett. 82B, 442 (1979) H. J. de Vega, ibid. 87B, 233 (1979) A. T. Ogielski, Phys. Rev. D 21, 406 (1980) C. K. Zachos, ibid. 21, 3462 (1980) J. Schonfeld, Nucl. Phys. B169, 49 (1980)
T. L. Curtright and C. K. Zachos, Phys. Rev. D 21, 411 (1980)
M. Luscher, Nucl. Phys. B135, 1 (1978) Al. B. Zamolodchikov, Dubna Report No. JINR-E2-11485 (1978) (unpublished) C. H. Woo, Phys. Rev. D 20, 1880 (1979)
R. P. Zaikov, Dubna Report No. E2-80-197 (1980) (unpublished) L. Dolan and A. Roos, Phys. Rev. D 22, 2018 (1980)
D. Gross and A. Neveu, Phys. Rev. D 10, 3235 (1974)
P. di Vecchia and S. Ferrara, Nucl. Phys. B130, 93 (1977) E. Witten, Phys. Rev. D 16, 2991 (1977)
Luscher ([4])
[6]
J. Lepowsky and R. L. Wilson, Commun. Math. Phys. 62, 43 (1978)
R. F. Dashen, B. Hasslacher, and A. Neveu, Phys. Rev. D 12, 2443 (1975)
N. Andrei and J. H. Lowenstein, Phys. Rev. Lett. 43, 1698 (1979) Phys. Lett. 90B, 106 (1980) A. A. Belavin, 87B, 117 (1979)
[11]
A. M. Polyakov, Nucl. Phys. B164, 171 (1979)
[14] T. Eguchi and Y. Hosotani, Phys. Lett. 96B, 349 (1980) C. Gu and L.-L. Chau Wang, Phys. Rev. Lett. 45, 2004 (1980) L. Dolan, Phys. Lett. 99B, 344 (1981)
B.-Y. Hou, Yale Report No. YTP 80-29 (1980) (unpublished)

[c1] M. Luscher and K. Pohlmeyer, Nucl. Phys. B137, 46 (1978)

[c2] B. Berg and P. H. Weisz, Nucl. Phys. B146, 205 (1978) E. Brezin, C. Itzykson, J. Zinn-Justin, and J.-B. Zuber, Phys. Lett. 82B, 442 (1979) H. J. de Vega, ibid. 87B, 233 (1979) A. T. Ogielski, Phys. Rev. D 21, 406 (1980) C. K. Zachos, ibid. 21, 3462 (1980) J. Schonfeld, Nucl. Phys. B169, 49 (1980)

[c3] T. L. Curtright and C. K. Zachos, Phys. Rev. D 21, 411 (1980)

[c4] M. Luscher, Nucl. Phys. B135, 1 (1978) Al. B. Zamolodchikov, Dubna Report No. JINR-E2-11485 (1978) (unpublished) C. H. Woo, Phys. Rev. D 20, 1880 (1979)

[c5] R. P. Zaikov, Dubna Report No. E2-80-197 (1980) (unpublished) L. Dolan and A. Roos, Phys. Rev. D 22, 2018 (1980)

[c6] D. Gross and A. Neveu, Phys. Rev. D 10, 3235 (1974)

[c7] P. di Vecchia and S. Ferrara, Nucl. Phys. B130, 93 (1977) E. Witten, Phys. Rev. D 16, 2991 (1977)

[c8] Luscher ([4])

[c9] [6]

[c10] J. Lepowsky and R. L. Wilson, Commun. Math. Phys. 62, 43 (1978)

[c11] R. F. Dashen, B. Hasslacher, and A. Neveu, Phys. Rev. D 12, 2443 (1975)

[c12] N. Andrei and J. H. Lowenstein, Phys. Rev. Lett. 43, 1698 (1979) Phys. Lett. 90B, 106 (1980) A. A. Belavin, 87B, 117 (1979)

[c13] [11]

[c14] A. M. Polyakov, Nucl. Phys. B164, 171 (1979)

[c15] [14] T. Eguchi and Y. Hosotani, Phys. Lett. 96B, 349 (1980) C. Gu and L.-L. Chau Wang, Phys. Rev. Lett. 45, 2004 (1980) L. Dolan, Phys. Lett. 99B, 344 (1981)

[c16] B.-Y. Hou, Yale Report No. YTP 80-29 (1980) (unpublished)

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Nonlocal-symmetry Ward identities

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References (16)

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