Statistical Field Theory Model for Elastomers

AbstractRoughening of interfaces implies the divergence of the interface width w with the system size L. For two-dimensional systems the divergence of $$w^2$$ w 2 is linear in L. In the framework of a detailed capillary wave approximation and of statistical field theory we derive an expression for the asymptotic behaviour of $$w^2$$ w 2 , which differs from results in the literature. It is confirmed by Monte Carlo simulations.

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Topological excitations in statistical field theory at the upper critical dimension

Journal of High Energy Physics ◽

10.1007/jhep03(2021)231 ◽

2021 ◽

Vol 2021 (3) ◽

Author(s):

Marco Panero ◽

Antonio Smecca

Keyword(s):

Field Theory ◽

Monte Carlo Study ◽

Critical Dimension ◽

Density Profiles ◽

Upper Critical Dimension ◽

Four Dimensions ◽

Topological Excitations ◽

Classical Heisenberg Model ◽

Statistical Field ◽

Statistical Field Theory

Abstract We present a high-precision Monte Carlo study of the classical Heisenberg model in four dimensions. We investigate the properties of monopole-like topological excitations that are enforced in the broken-symmetry phase by imposing suitable boundary conditions. We show that the corresponding magnetization and energy-density profiles are accurately predicted by previous analytical calculations derived in quantum field theory, while the scaling of the low-energy parameters of this description questions an interpretation in terms of particle excitations. We discuss the relevance of these findings and their possible experimental applications in condensed-matter physics.

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A statistical field theory of salt solutions of ‘hairy’ dielectric particles

Journal of Physics Condensed Matter ◽

10.1088/1361-648x/ab4d38 ◽

2019 ◽

Vol 32 (5) ◽

pp. 055101 ◽

Cited By ~ 2

Author(s):

Yury A Budkov

Keyword(s):

Field Theory ◽

Salt Solutions ◽

Dielectric Particles ◽

Statistical Field ◽

Statistical Field Theory

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Large deviation principle for the field in prequantum classical statistical field theory

Infinite Dimensional Analysis Quantum Probability and Related Topics ◽

10.1142/s0219025717500254 ◽

2017 ◽

Vol 20 (04) ◽

pp. 1750025

Author(s):

Andrei Khrennikov ◽

Achref Majid

Keyword(s):

Field Theory ◽

Random Field ◽

Field Model ◽

Large Deviation Principle ◽

Large Deviation ◽

Background Field ◽

Deviation Principle ◽

Statistical Field ◽

Statistical Field Theory

In this paper, we prove a large deviation principle for the background field in prequantum statistical field model. We show a number of examples by choosing a specific random field in our model.

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Equal-Time Commutators and Equations of Motion for Current Densities in a Renormalizable Field-Theory Model

Physical Review ◽

10.1103/physrev.188.2404 ◽

1969 ◽

Vol 188 (5) ◽

pp. 2404-2415 ◽

Cited By ~ 5

Author(s):

Wu-Ki Tung

Keyword(s):

Field Theory ◽

Equations Of Motion ◽

Theory Model ◽

Equal Time ◽

Field Theory Model ◽

Current Densities

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Twisted K-theory constructions in the case of a decomposable Dixmier-Douady class

Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology ◽

10.1017/is014007001jkt274 ◽

2014 ◽

Vol 14 (2) ◽

pp. 247-272 ◽

Cited By ~ 4

Author(s):

Antti J. Harju ◽

Jouko Mickelsson

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Lie Groups ◽

Explicit Construction ◽

Theory Model ◽

Quantum Field ◽

Compact Lie Groups ◽

Field Theory Model ◽

Cup Product ◽

K Theory

AbstractTwisted K-theory on a manifold X, with twisting in the 3rd integral cohomology, is discussed in the case when X is a product of a circle and a manifold M. The twist is assumed to be decomposable as a cup product of the basic integral one form on and an integral class in H2(M,ℤ). This case was studied some time ago by V. Mathai, R. Melrose, and I.M. Singer. Our aim is to give an explicit construction for the twisted K-theory classes using a quantum field theory model, in the same spirit as the supersymmetric Wess-Zumino-Witten model is used for constructing (equivariant) twisted K-theory classes on compact Lie groups.

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