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Lee-Yang Zeroes and Logarithmic Corrections in the $Phi^4_4$ Theory | | R. Kenna
; C.B. Lang
; | | Date: |
13 Oct 1992 | | Journal: | Nucl. Phys. B (Proc. Suppl.) 30 (1993) 697 | | Subject: | hep-lat | | Abstract: | The leading mean-field critical behaviour of $phi^4_4$-theory is modified by multiplicative logarithmic corrections. We analyse these corrections both analytically and numerically. In particular we present a finite-size scaling theory for the Lee-Yang zeroes and temperature zeroes, both of which exhibit logarithmic corrections. On lattices from size $8^4$ to $24^4$, Monte-Carlo cluster methods and multi-histogram techniques are used to determine the partition function zeroes closest to the critical point. Finite-size scaling behaviour is verified and the logarithmic corrections are found to be in good agreement with our analytical predictions. | | Source: | arXiv, hep-lat/9210017 | | Services: | Forum | Review | PDF | Favorites | |
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