Lee-Yang zeroes in the one flavour massive lattice Schwinger model

Details Lee-Yang zeroes in the one flavour massive lattice Schwinger model Lee-Yang zeroes in the one flavour massive lattice Schwinger model

1994-08-26

arxiv.org/abs/hep-lat/9408018v1

Phys.Lett. B341 (1994) 46-52

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages (2 figures), LaTeX + POSTSCRIPT (42 KB), preprint UNIGRAZ-UTP-260894

Scientific paper

10.1016/0370-2693(94)01258-X

We study the partition function of the model formulated with Wilson fermions with only one species, both analytically and numerically. At strong coupling we construct the solution for lattice size up to $8\times 8$, a polynomial in the hopping parameter up to $O(\ka^{128})$. At $\be>0$ we evaluate the expectation value of the fermion determinant for complex values of $\ka$. From the Lee-Yang zeroes we find support for the existence of a line of phase transitions from $(\be=0, \ka\simeq 0.38)$ up to $(\be=\infty, \ka=1/4)$.

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