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

Abstract

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 $(\be=\infty, \ka=1/4)$.

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

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• Renormalization Group Analysis of Finite-Size Scaling in the ${\Phi }_4^4$ Model
• Functional Integral Approach to the N-Flavor Schwinger Model
• On the Phase Structure of the Schwinger Model with Wilson Fermions

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• The exact equivalence of the two-flavour strong coupling lattice Schwinger model with Wilson fermions to a vertex model
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• Critical Behavior of the Schwinger Model with Wilson Fermions
• The Phase Structure of the Schwinger Model on the Lattice with Wilson Fermions in the Hartree-Fock Approximation
• Renormal-order improvement of the Schwinger mass
• Some approximate analytical methods in the study of the self-avoiding loop model with variable bending rigidity and the critical behaviour of the strong coupling lattice Schwinger model with Wilson fermions
• Surface modes and parity violation in Schwinger model on the lattice
• The Phase Diagrams of the Schwinger and Gross-Neveu Models with Wilson Fermions