Critical Phenomena, Strings, and Interfaces
Some points concerning the relation of strings to interfaces in statistical systems are discussed.
hep-th↗
arXiv subjects
Gernot Münster
Publications and source records attributed to Gernot Münster.
The Interface Tension of the Three-dimensional Ising Model in Two-loop Order
In liquid mixtures and other binary systems at low temperatures the pure phases may coexist, separated by an interface. The interface tension vanishes according to $σ= σ_0 (1 - T/T_c)^μ$ as the temperature T approaches the critical point from below. Similarly the correlation length diverges as $ξ= f_- (1 - T/T_c)^{-ν}$ in the low temperature region. For three-dimensional systems the dimensionless product $R_- = σ_0 f_-^2$ is universal. We calculate its value in the framework of field theory in d=3 dimensions by means of a saddle-point expansion around the kink solution including two-loop corrections. The result R_ = 0.1065(9), where the error is mainly due to the uncertainty in the renormalized coupling constant, is compatible with experimental data and Monte Carlo calculations.
cond-mat.stat-mech↗
Field Theory, Critical Phenomena and Interfaces
These lecture notes want to illustrate the close connection between statistical mechanics and field theory not only on the formal level, i.e. that many concepts of one area can easily be taken over to the other one, but also on the level of actual calculations. To this purpose, the last section will demonstrate that a special statistical system, the binary fluid system, can be described by field theory in its critical behaviour.
hep-th↗