Abstract
A new method to obtain the large N limit of a Quantum Field Theory is presented. The technique is based on a recently defined generalization of the Hidden BRST Symmetry of Stochastic Quantization. We prove various propositions that permit a concise and efficient calculation of the leading order in large N of a model. The method is illustrated by solving various examples. In particular we find a closed solution for the zero-dimensional two Her-mitian matrix model. Finally we explain how to get the higher order corrections in the 1/N expansion.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
T. Eguchi and H. Kawai, Phys. Rev. Lett. 48 (1982) 1063 G. Bhanot, U. Heller and H. Neuberger, Phys. Lett. 113B (1982) 47 G. Parisi, Phys. Lett. 112B (1982) 46 D.J. Gross and Y. Kitazawa, Nucl. Phys. B206 (1982) 440 S. Das and S. Wadia, Phys. Lett. 117B (1982) 228 G. Parisi and Y. Zhang, Phys. Lett. 114B (1982) 319 A. Gonzalez-Arroyo and M. Okawa, Phys. Lett. 120B (1983) 174 J. Alfaro and B. Sakita, Phys. Lett. 121B (1983) 339 J. Alfaro, Phys. Rev. D28 (1983) 1001 G. Aldazabal, N. Parga, M. Okawa and A. Gonzalez-Arroyo, Phys. Lett.129B (1983) 90. J. Greensite and M. B. Halpern, Nucl. Phys. B211 (1983) 343.
W. A. Bardeen, Moshe and M. Bander, Phys. Rev. Lett. 52 (1984) 1188.
J. Alfaro and P. H. Damgaard, Phys. Lett. 22B (1989) 425; J. Alfaro, P. H. Damgaard J. L. Latorre and D. Montano, “On the BRST invariance of field deformations” preprint NBI-HE-89-35, Phys. Lett, in print; J. Alfaro and P. H. Damgaard, “Field transformations, Collective Coordinates and BRST invariance”, preprint NBI-HE-89-43.
E. Brezin, C. Itzykson, G. Parisi and J. B. Zuber, Comm. Math. Phys. 59 (1978) 35.
J. Alfaro, Phys. Lett. 200B (1988) 80.
J. Alfaro and J. C. Retamai, Phys. Lett. 222B (1989) 429.
C. Itzykon and J. B. Zuber, J. Math. Phys. 21 (1980) 411. M.L. Mehta, preprint CEN-SACLAY 79/124.
A. Jevicki and B. Sakita, Nucl. Phys. B185 (1981) 89.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer Science+Business Media New York
About this chapter
Cite this chapter
Alfaro, J. (1990). Hidden BRST Symmetry and Large N. In: Damgaard, P.H., Hüffel, H., Rosenblum, A. (eds) Probabilistic Methods in Quantum Field Theory and Quantum Gravity. NATO ASI Series, vol 224. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3784-7_20
Download citation
DOI: https://doi.org/10.1007/978-1-4615-3784-7_20
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6686-7
Online ISBN: 978-1-4615-3784-7
eBook Packages: Springer Book Archive