Boundary States and Correlation Functions of Tricritical Ising Model from Coulomb-Gas Formalism

Balaska, Smain; Sahabi, Toufik

doi:10.1088/0253-6102/51/1/22

Cited by 3 publications

(4 citation statements)

References 16 publications

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“…It is worth to mention that a similar connection has been reported in conformal field theory, see e.g. [41,42], see also [6] and the references therein. Let (K, |•| K ) be a local field of characteristic zero.…”

Section: Koba-nielsen Local Zeta Functions and 1d Log-coulomb Gasessupporting

confidence: 72%

“…Fix N = 6. Following the proofs of Propositions 5.1 and 5.2, or as special case of Proposition 5.3, we obtain that Z (6)…”

Section: Examplementioning

confidence: 70%

“…Furthermore, they admit meromorphic continuations to the whole C d , see Theorems 6.1 and 4.1. We give a detailed proof and a precise description of the convergence domain in the case K = R, see Theorem 4.1 and section 5; this proof can be easily extended to an arbitrary local field K of characteristic zero, see section 6.…”

Section: Jhep09(2020)138mentioning

confidence: 99%

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Meromorphic continuation of Koba-Nielsen string amplitudes

Bocardo-Gaspar

Veys

Zúñiga–Galindo

2020

J. High Energ. Phys.

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In this article, we establish in a rigorous mathematical way that Koba-Nielsen amplitudes defined on any local field of characteristic zero are bona fide integrals that admit meromorphic continuations in the kinematic parameters. Our approach allows us to study in a uniform way open and closed Koba-Nielsen amplitudes over arbitrary local fields of characteristic zero. In the regularization process we use techniques of local zeta functions and embedded resolution of singularities. As an application we present the regularization of p-adic open string amplitudes with Chan-Paton factors and constant B-field. Finally, all the local zeta functions studied here are partition functions of certain 1D log-Coulomb gases, which shows an interesting connection between Koba-Nielsen amplitudes and statistical mechanics.

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Section: Koba-nielsen Local Zeta Functions and 1d Log-coulomb Gasessupporting

confidence: 72%

“…Fix N = 6. Following the proofs of Propositions 5.1 and 5.2, or as special case of Proposition 5.3, we obtain that Z (6)…”

Section: Examplementioning

confidence: 70%

See 1 more Smart Citation

Meromorphic continuation of Koba-Nielsen string amplitudes

Bocardo-Gaspar

Veys

Zúñiga–Galindo

2020

J. High Energ. Phys.

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“…As can be seen from the conformal dimension, the operator is the Z 2 simple current. (For a review and notations, see the discussions and references in [161]. )…”

Section: Appendix C: Parity Of Tricritical Ising Modelmentioning

confidence: 99%

Fermionic fractional quantum Hall states: A modern approach to systems with bulk-edge correspondence

Fukusumi,

Yang

2023

Phys. Rev. B

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Non-Archimedean electrostatics

Sinclair¹

2022

𝑝-Adic Analysis, Arithmetic and Singularities

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We introduce ensembles of repelling charged particles restricted to a ball in a non-archimedean field (such as the p p -adic rational numbers) with interaction energy between pairs of particles proportional to the logarithm of the ( p p -adic) distance between them. In the canonical ensemble, a system of N N particles is put in contact with a heat bath at fixed inverse temperature β \beta and energy is allowed to flow between the system and the heat bath. Using standard axioms of statistical physics, the relative density of states is given by the β \beta power of the ( p p -adic) absolute value of the Vandermonde determinant in the locations of the particles. The partition function is the normalizing constant (as a function of β \beta ) of this ensemble, and we identify a recursion that allows this to be computed explicitly in finite time. Probabilities of interest, including the probabilities that fixed subsets will have a prescribed number of particles, and the conditional distribution of particles within a subset given a prescribed occupation number, are given explicitly in terms of the partition function. We then turn to the grand canonical ensemble where both the energy and number of particles are variable. We compute similar probabilities to those in the canonical ensemble and show how these probabilities can be given in terms the canonical and grand canonical partition functions. Finally, we briefly consider the multi-component ensemble where particles are allowed to take different integer charges, and we connect basic properties of this ensemble to the canonical and grand canonical ensembles.

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Boundary States and Correlation Functions of Tricritical Ising Model from Coulomb-Gas Formalism

Abstract: We consider the minimal conformal model describing the tricritical Ising model on the disk and on the upper half plane. Using the coulomb-gas formalism we determine its consistents boundary states as well as its 1-point and 2-point correlation functions.

Cited by 3 publications

References 16 publications

Meromorphic continuation of Koba-Nielsen string amplitudes

Meromorphic continuation of Koba-Nielsen string amplitudes

Fermionic fractional quantum Hall states: A modern approach to systems with bulk-edge correspondence

Non-Archimedean electrostatics

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