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We discuss the Dirac-Kähler and staggered formulations of lattice gauge theory with fermions and show that, although the noninteracting parts of the Lagrangians are identical, the Lagrangians differ in the interactions between the gauge field and the fermion field. However, we argue that, in...
The explicit form of the spectrum of the energy density of the vacuum surrounding a cosmic string as would be seen by an observer at rest is calculated. Spin-0, - half , or -1 massless fields are considered and it is found that the result is independent of the spin value. An interpretation which...
Cosmological constraints are investigated for neutrinos in the fourth generation. From the requirement that the emitted photon flux should not exceed the observed γ -ray background and the photofission of light elements ( 4 H, H 3 , H 2 ) should not overproduce H 3 and H 2 or should not destroy...
We give an exact equation for the renormalization of the electric charge in the Villain version of the U(1) lattice gauge theory. It involves a sum of monopole loops of increasing size plus their long-range Biot-Savart-type interactions. We count and evaluate the contributions of these loops...
We construct couplings of n vector supermultiplets to d=7 , N=2 supergravity with a three-index field. It is shown that this gauged theory is equivalent to its dual theory under the duality transformation in contrast with d=7 , N=2 pure supergravity.
This is the first in a series of papers dealing with quantum or Wigner probability distributions and the dynamics of early-Universe phase transitions. In this paper we argue that the inflaton field (a real gauge-singlet scalar field) when spatially averaged over a causal horizon behaves as if it...
We use the hybrid Monte Carlo algorithm (HMCA) to simulate QCD with four flavors of staggered dynamical fermions on 6 3 ×4 and 8 3 ×4 lattices. We find evidence that the first-order finite-temperature transition found at small quark masses persists for m=0.1 , 0.2, 0.3, and 0.5. Our data...
An alternative approach to lattice calculations is proposed, based on the method of moments. In this approach, instead of working with a lattice of definite (if possible) large size, a sequence of lattices is considered starting from the smallest ones. It is shown, by exploiting the variational...
We show that the cohomology of the Becchi-Rouet-Stora diffeomorphism operator on the integrated functions in R d can be easily computed as a series whose terms contain the cohomology elements of the same operator on the unintegrated functions. Then we find that this last cohomology space can be...
It is suggested how to formulate a consistent string theory in four spacetime dimensions, based on parafermionic fields. A formula for the cosmological constant is given, together with some plausibility arguments for the existence of a corresponding conformal field theory and string.
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