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Critical Exponents and Elementary Particles [PDF]
Communications in Mathematical Physics, 1977 Particles are shown to exist for a.e. value of the mass in single phase φ4 lattice and continuum field theories and nearest neighbor Ising models. The particles occur in the form of poles at imaginary (Minkowski) momenta of the Fourier transformed two point function.
Glimm, J., Jaffe, A.
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The critical exponent functions [PDF]
Comptes Rendus. Mathématique, 2022 The critical exponent of a finite or infinite word w over a given alphabet is the supremum of the reals α for which w contains an α-power. We study the maps associating to every real in the unit interval the inverse of the critical exponent of its base-n expansion. We strengthen a combinatorial result by J.D. Currie and N.
Dario Corona, Alessandro Della Corte
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Critical exponents from cluster coefficients [PDF]
Physical Review E, 2009 11 pages, 6 figures, submitted to ...
Rotman, Z., Eisenberg, E.
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Nonextensive percolation and Lee-Yang edge singularity from nonextensive λϕ3 scalar field theory
Physics Letters B, 2022 We compute the critical exponents for nonextensive λϕ3 scalar field theory for all loop orders and |q−1|
P.R.S. Carvalho
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Dynamical selection of critical exponents [PDF]
Physical Review E, 2016 v2: Several misprints corrected, appendix on toy model rendered more relevant.
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Critical Exponents in Zero Dimensions [PDF]
Journal of Statistical Physics, 2012 In the vicinity of the onset of an instability, we investigate the effect of colored multiplicative noise on the scaling of the moments of the unstable mode amplitude. We introduce a family of zero dimensional models for which we can calculate the exact value of the critical exponents $ _m$ for all the moments.
Alexakis, A., Pétrélis, F.
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Scale-Free Chaos in the 2D Harmonically Confined Vicsek Model
Entropy, 2023 Animal motion and flocking are ubiquitous nonequilibrium phenomena that are often studied within active matter. In examples such as insect swarms, macroscopic quantities exhibit power laws with measurable critical exponents and ideas from phase ...
Rafael González-Albaladejo +1 more
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Lyapunov exponents and phase transitions of Born-Infeld AdS black holes [PDF]
Journal of Cosmology and Astroparticle Physics, 2023 In this paper, we characterize the phase transitons of Born-Infeld AdS black holes in terms of Lyapunov exponents. We calculate the Lyapunov exponents for timelike geodesics in background metric and photon geodesics in effective metric.
Shaojie Yang +3 more
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Critical exponents without β-function [PDF]
Physics Letters B, 1999 We point out that the recently developed strong-coupling theory enables us to calculate the three main critical exponents nu, eta, omega, from the knowledge of only the two renormalization constants Z_phi of wave function and Z_m of mass. The renormalization constant of the coupling strength is superfluous, and with it also the beta-function, the ...
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Critical Exponents Can Be Different on the Two Sides of a Transition: A Generic Mechanism. [PDF]
Physical Review Letters, 2015 We present models where γ(+) and γ(-), the exponents of the susceptibility in the high- and low-temperature phases, are generically different. In these models, continuous symmetries are explicitly broken down by discrete anisotropies that are irrelevant ...
F. Léonard, B. Delamotte
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