Monte Carlo Simulations for Quantum Field Theories Involving Fermions

作者: M. Karowski , R. Schrader , H. J. Thun

DOI: 10.1007/978-3-642-70307-2_2

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摘要: We present a new variant of Monte Carlo procedure for euclidean quantum field theories with fermions. On lattice every term contributing to the expansion fermion determinant is interpreted as configuration self-avoiding oriented closed loops which represent fermionic vacuum fluctuations. These are related Symanzik’s polymer description theory. The method extended determination Green’s functions. test our on Scalapino-Sugar model in one, two, three, and four dimensions. Good agreement exactly known results found.

参考文章(51)
P.W. Kasteleyn, The statistics of dimers on a lattice Physica. ,vol. 27, pp. 1209- 1225 ,(1961) , 10.1016/0031-8914(61)90063-5
P. Mitra, Geometry of non-degenerate Susskind fermions Nuclear Physics B. ,vol. 227, pp. 349- 364 ,(1983) , 10.1016/0550-3213(83)90025-1
K. Symanzik, Euclidean Quantum field theory Rend. Scu. Int. Fis. Enrico Fermi 45: 152-226(1969).. ,(1969)
H. Hamber, E. Marinari, G. Parisi, C. Rebbi, SPECTROSCOPY IN A LATTICE GAUGE THEORY Physics Letters B. ,vol. 108, pp. 314- 316 ,(1982) , 10.1016/0370-2693(82)91201-1
Robert Schrader, On the Euler characteristics of random surfaces Journal of Statistical Physics. ,vol. 40, pp. 533- 561 ,(1985) , 10.1007/BF01017184
B. Berg, D. Foerster, Random paths and random surfaces on a digital computer Physics Letters B. ,vol. 106, pp. 323- 326 ,(1981) , 10.1016/0370-2693(81)90545-1
S.J. Anthony, C.H.Llewellyn Smith, J.F. Wheater, A new proposal for Monte Carlo simulation of fermions on a lattice Physics Letters B. ,vol. 116, pp. 287- 290 ,(1982) , 10.1016/0370-2693(82)90344-6