scholarly journals Staggered Phases in Diluted Systems with Continuous Spins

1997 ◽  
Vol 189 (2) ◽  
pp. 631-640 ◽  
Author(s):  
L. Chayes ◽  
R. Kotecký ◽  
S. B. Shlosman
Keyword(s):  
Continuous Spins

scholarly journals Conformal Regge theory at finite boost

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Simon Caron-Huot ◽  
Joshua Sandor
Keyword(s):  
Field Theory ◽  
Operator Product Expansion ◽  
Operator Product ◽  
Exact Results ◽  
Double Integral ◽  
Regge Theory ◽  
Conformal Field ◽  
Regge Trajectories ◽  
Continuous Spins ◽  
Regge Limit

Abstract The Operator Product Expansion is a useful tool to represent correlation functions. In this note we extend Conformal Regge theory to provide an exact OPE representation of Lorenzian four-point correlators in conformal field theory, valid even away from Regge limit. The representation extends convergence of the OPE by rewriting it as a double integral over continuous spins and dimensions, and features a novel “Regge block”. We test the formula in the conformal fishnet theory, where exact results involving nontrivial Regge trajectories are available.

scholarly journals Continuous spins in 2D gravity: Chiral vertex operators and local fields

1994 ◽  
Vol 431 (1-2) ◽  
pp. 273-312 ◽  
Author(s):  
Jean-Loup Gervais ◽  
Jens Schnittger
Keyword(s):  
2D Gravity ◽  
Local Fields ◽  
Vertex Operators ◽  
Continuous Spins

scholarly journals THE CONTINUOUS SPIN RANDOM FIELD MODEL: FERROMAGNETIC ORDERING IN d≥3

1999 ◽  
Vol 11 (10) ◽  
pp. 1269-1314 ◽  
Author(s):  
CHRISTOF KÜLSKE
Keyword(s):  
Random Field ◽  
Gibbs Measures ◽  
Coarse Graining ◽  
Continuous Spin ◽  
Ising Spin ◽  
Contour Representation ◽  
Ising Spin System ◽  
Continuous Spins ◽  
Ferromagnetic Ordering ◽  
Spin Distributions

We investigate the Gibbs-measures of ferromagnetically coupled continuous spins in double-well potentials subjected to a random field (our specific example being the ϕ4 theory), showing ferromagnetic ordering in d≥3 dimensions for weak disorder and large energy barriers. We map the random continuous spin distributions to distributions for an Ising-spin system by means of a single-site coarse-graining method described by local transition kernels. We derive a contour-representation for them with notably positive contour activities and prove their Gibbsianness. This representation is shown to allow for application of the discrete-spin renormalization group developed by Bricmont/Kupiainen implying the result in d≥3.

SCOZA for continuous spins

1997 ◽  
Vol 247 (1-4) ◽  
pp. 497-510 ◽  
Author(s):  
J.S. Høye ◽  
G. Stell
Keyword(s):  
Continuous Spins

scholarly journals Loss without recovery of Gibbsianness during diffusion of continuous spins

2005 ◽  
Vol 135 (3) ◽  
pp. 428-456 ◽  
Author(s):  
Christof Külske ◽  
Frank Redig
Keyword(s):  
Continuous Spins

scholarly journals ON THE TOPOLOGICAL ORIGIN OF ENTANGLEMENT IN ISING SPIN GLASSES

2007 ◽  
Vol 22 (03) ◽  
pp. 201-208
Author(s):  
V. V. SREEDHAR
Keyword(s):  
Spin Glasses ◽  
Three Dimensional ◽  
Group Cohomology ◽  
Duality Mapping ◽  
Spin Models ◽  
Ising Spin ◽  
Entanglement Measures ◽  
Continuous Spins ◽  
Chern Simons ◽  
Knots And Links

The origin of entanglement in a class of three-dimensional spin models, at low momenta, is traced to topological reasons. The establishment of the result is facilitated by the gauge principle which, in conjunction with the duality mapping of the spin models, enables us to recast them as lattice Chern–Simons theories. The entanglement measures are expressed in terms of the correlators of Wilson lines, loops, and their generalisations. For continuous spins, these yield the invariants of knots and links. For Ising-like models, they can be expressed in terms of three-manifold invariants obtained from finite group cohomology — the so-called Dijkgraaf–Witten invariants.

scholarly journals Disorder-free spin glass transitions and jamming in exactly solvable mean-field models

2018 ◽  
Vol 4 (6) ◽  
Author(s):  
Hajime Yoshino
Keyword(s):  
Mean Field ◽  
Quenched Disorder ◽  
Rotational Degree ◽  
Frustrated Magnets ◽  
Glass Transitions ◽  
Random Energy Model ◽  
Geometrically Frustrated ◽  
Glass Forming ◽  
Exactly Solvable ◽  
Continuous Spins

We construct and analyze a family of MM-component vectorial spin systems which exhibit glass transitions and jamming within supercooled paramagnetic states without quenched disorder. Our system is defined on lattices with connectivity c=\alpha Mc=αM and becomes exactly solvable in the limit of large number of components M \to \inftyM→∞. We consider generic pp-body interactions between the vectorial Ising/continuous spins with linear/non-linear potentials. The existence of self-generated randomness is demonstrated by showing that the random energy model is recovered from a MM-component ferromagnetic pp-spin Ising model in M \to \inftyM→∞ and p \to \inftyp→∞ limit. In our systems the quenched disorder, if present, and the self-generated disorder act additively. Our theory provides a unified mean-field theoretical framework for glass transitions of rotational degree of freedoms such as orientation of molecules in glass forming liquids, color angles in continuous coloring of graphs and vector spins of geometrically frustrated magnets. The rotational glass transitions accompany various types of replica symmetry breaking. In the case of repulsive hardcore interactions in the spin space, the criticality of the jamming or SAT/UNSTAT transition becomes the same as that of hardspheres.

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