arXiv subjects

Joe Kiskis

Publications and source records attributed to Joe Kiskis.

22 records · Page 2Linked to original sources

arXiv1996

Absence of Physical Walls in Hot Gauge Theories

This paper shows that there are no physical walls in the deconfined, high-temperature phase of Z(2) lattice gauge theory. In a Hamiltonian formulation, the interface in the Wilson lines is not physical. The line interface and its energy are interpreted in terms of physical variables. They are associated with a difference between two partition functions. One includes only the configurations with even flux across the interface. The other is restricted to odd flux.

hep-lat↗

arXiv1995

Absence of Physical Walls in Hot Gauge Theories

This paper shows that there are no {\em physical} walls in the deconfined, high-temperature phase of $Z(2)$ lattice gauge theory. In a Hamiltonian formulation, the interface in the Wilson lines is not physical. The line interface and its energy are interpreted in terms of physical variables. They are associated with a difference between two partition functions. One includes only the configurations with even flux across the interface. The other is restricted to odd flux. Also, with matter present, there is no physical metastable state. However, the free energy is lowered by the matter. This effect is described in terms of physical variables.

hep-lat↗

arXiv1993

The Hausdorff dimension of random walks and the correlation length critical exponent in Euclidean field theory

We study the random walk representation of the two-point function in statistical mechanics models near the critical point. Using standard scaling arguments we show that the critical exponent $ν$ describing the vanishing of the physical mass at the critical point is equal to $ν_θ/ d_w$. $d_w$ is the Hausdorff dimension of the walk. $ν_θ$ is the exponent describing the vanishing of the energy per unit length of the walk at the critical point. For the case of O(N) models, we show that $ν_θ=φ$, where $φ$ is the crossover exponent known in the context of field theory. This implies that the Hausdorff dimension of the walk is $φ/ν$ for O(N) models.

hep-th↗

arXiv1992

Random Walks and the Correlation Length Critical Exponent in Scalar Quantum Field Theory

The distance scale for a quantum field theory is the correlation length $ξ$, which diverges with exponent $ν$ as the bare mass approaches a critical value. If $t=m^{2}-m_{c}^{2}$, then $ξ=m_{P}^{-1} \sim t^{-ν}$ as $t \to 0$. The two-point function of a scalar field has a random walk representation. The walk takes place in a background of fluctuations (closed walks) of the field itself. We describe the connection between properties of the walk and of the two-point function. Using the known behavior of the two point function, we deduce that the dimension of the walk is $d_{w}=ϕ/ ν$ and that there is a singular relation between $t$ and the energy per unit length of the walk $θ\sim t^ϕ$ that is due to the singular behavior of the background at $t=0$. ($ϕ$ is a computable crossover exponent.)

hep-lat↗