Abstract
I review Hamiltonian lattice calculations on SU(N) gauge theories and present some recent results on chiral meson field theories. A common theme in both is the study of collective excitations, corresponding to glueball masses in gauge theories and vector meson masses in chiral meson field theories. In the case of the non-linear sigma model, I show that the variational mass gap of the ω-like collective mode vanishes as one approaches the chiral phase transition.
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Berg, B. A., Billoire, A., and Vohwinkel, C. (1986): Phys. Rev. Lett. 57, 400.
Bohigas, O., Lane, A., and Martorell, J. (1979): Phys. Rept. 51, 267.
Bunatian, G. and Wambach, J. (1994): Phys. Lett. B336, 290.
Brown, G. E. and Rho, M. (1991): Phys. Rev. Lett. 66, 2720.
Chin, S. A. (1978): Phys. Lett. B78, 552.
Chin, S. A., Negele, J. W. and Koonin, S. E. (1984): Ann. of Phys. (NY) 157, 140.
Chin, S. A., van Roosmalen, O. S., Umland, E. A., and Koonin, S. E. (1985): Phys. Rev. D31, 3201.
Chin, S. A. (1986): Cluster Model and Other Topics, International Review of Nuclear Physics, Volume 4, edited by T. Kuo, (World Scientific, Singapore) 395–510.
Chin, S. A., Long, C. and Robson, D. (1986): Phys. Rev. Lett. 57, 2779.
Chin, S. A. and Karliner, M. (1987): Phys. Rev. Lett. 58, 1803.
Chin, S. A., Long, C. and Robson, D. (1988a): Phys. Rev. Lett. 60, 1467.
Chin, S. A., Long, C. and Robson, D. (1988b): Phys. Rev. D37, 3001.
Chin, S. A. (1991): Progress in Nuclear Physics, edited by W-Y. P. Hwang et al. (Elsevier, New York) 47–63.
Gerber, P. and Leutwyler, H. (1989): Nucl. Phys. B321, 387.
Hofsäss, T. and Horsley, R. (1983): Phys. Lett. 123B, 65.
Jackson, H, and Feenberg, E. (1961): Ann. of Phys. (NY) 15, 266.
Kogut, J., and Susskind, L. (1975): Phys. Rev. D11, 395.
Kogut, J., Sinclair, D. K. and Susskind, L. (1976): Nucl. Phys. B114, 199.
Kogut, J., and Shigemitsu, J. (1980): Phys. Rev. Lett. 45, 410.
Kogut, J., Snow, M. and Stone, M. (1982): Nucl. Phys. B200[FS4], 211.
Long, C., Robson, D. and Chin, S. A. (1988): Phys. Rev. D37, 3006.
McLerran, L. D., and Willemsen, J. F. (1976): Phys. Lett. 65B, 351.
Michael, C. and Teper, M. (1988): Phys. Lett. B206, 299.
Ristig, M. L., and Kim, J. W. (1995): Phys. Rev. B53, 6665.
Robson, D., Long, C. and Chin, S. A. (1989): “Hamiltonian Lattice Gauge Calculation for SU(N) Gauge Group”, Relativistic Nuclear Many-Body Physics, (World Scientific, Singapore) 31–46.
Yang, C. N. (1974): Phys. Rev. Lett. 33, 445.
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© 1997 Springer-Verlag
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Chin, S.A. (1997). Hamiltonian lattice calculations on gauge and chiral meson field theories. In: Clark, J.W., Ristig, M.L. (eds) Theory of Spin Lattices and Lattice Gauge Models. Lecture Notes in Physics, vol 494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104305
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DOI: https://doi.org/10.1007/BFb0104305
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