I show that spontaneous breaking of vector flavor symmetry on the lattice is impossible in
gauge theories with a positive functional-integral measure, for discretized Dirac operators …

We show that an essential assumption in the Vafa-Witten theorem on P and CT realization in
vectorlike theories, the existence of a free energy density in Euclidean space in the …

We consider diquark condensation in finite density lattice SU (2). We first present an
extension of Vafa–Witten result, on spontaneous breaking of vector-like global symmetries …

We study unquenched lattice SU (2) at nonzero chemical potential at strong coupling and
with eight flavours of Kogut–Susskind fermions. Introducing a diquark source term we …

Renormalization factors are most easily extracted by going to the massless limit of the
quantum field theory and retaining only a single momentum scale. We derive the factors and …

The sum of all the ladder and rainbow diagrams in φ 3 theory near six dimensions leads to
self-consistent higher order differential equations in coordinate space which are not …

Lattice QCD with two flavors of Wilson fermions can exhibit spontaneous breaking of flavor
and parity, with the resulting “Aoki phase” characterized by the nonzero expectation value …

We discuss the vacuum structure of QCD with two flavors of Wilson fermions. We derive two
possible scenarios:(i) If the spectral density ρ U (λ, κ) of the overlap Hamiltonian in a fixed …

We investigate the physical consequences of the survival of the effects of the U (1) A
anomaly in the chiral symmetric phase of QCD, and show that the free energy density is a …

We study spontaneous symmetry breaking in quantum field theories with fermionic order
parameters and construct, for the first time in the literature, the constraint effective potential …