Another probabilistic construction of Φ22n*

Yichao Huang

doi:10.1214/21-ECP389

Another probabilistic construction of Φ₂^2n*

Yichao Huang^*

^*Corresponding author for this work

University of Helsinki

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This note provides an alternative probabilistic approach to the Φ²ⁿ theory in dimension 2. The key idea is to study the concentration phenomenon of martingales associated to polynomials of Gaussian variables. This is based on an adaptation of the work of Lacoin-Rhodes-Vargas [3] on the quantum Mabuchi K-energy.

Original language	English
Article number	19
Journal	Electronic Communications in Probability
Volume	26
DOIs	https://doi.org/10.1214/21-ECP389
Publication status	Published - 2021
Externally published	Yes

Keywords

Constructive field theory
Gaussian free field
Stochastic calculus

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10.1214/21-ECP389

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abstract = "This note provides an alternative probabilistic approach to the Φ2n theory in dimension 2. The key idea is to study the concentration phenomenon of martingales associated to polynomials of Gaussian variables. This is based on an adaptation of the work of Lacoin-Rhodes-Vargas [3] on the quantum Mabuchi K-energy.",

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AB - This note provides an alternative probabilistic approach to the Φ2n theory in dimension 2. The key idea is to study the concentration phenomenon of martingales associated to polynomials of Gaussian variables. This is based on an adaptation of the work of Lacoin-Rhodes-Vargas [3] on the quantum Mabuchi K-energy.

KW - Constructive field theory

KW - Gaussian free field

KW - Stochastic calculus

UR - https://www.scopus.com/pages/publications/85105075943

U2 - 10.1214/21-ECP389

DO - 10.1214/21-ECP389

M3 - Article

AN - SCOPUS:85105075943

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VL - 26

JO - Electronic Communications in Probability

JF - Electronic Communications in Probability

M1 - 19

ER -

Another probabilistic construction of Φ₂^2n*

Abstract

Keywords

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