Effective gravitational action for 2D massive fermions

被引：3

作者：

Bilal, Adel ^{[1
]}

de Lacroix, Corinne ^{[1
]}

Erbin, Harold ^{[2
,3
,4
]}

机构：

[1] Univ Paris, Sorbonne Univ, PSL Univ, Lab Phys,Ecole Normale Super,CNRS, 24 Rue Lhomond, F-75231 Paris 05, France

[2] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA

[3] NSF AI Inst Artificial Intelligence & Fundamental, Cambridge, MA USA

[4] Univ Paris Saclay, CEA, LIST, F-91191 Gif Sur Yvette, France

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2021年 / 2021卷 / 11期

基金：

欧盟地平线“2020”;

关键词：

2D Gravity; Models of Quantum Gravity; QUANTUM; LIOUVILLE; GEOMETRY; GRAVITY;

D O I：

10.1007/JHEP11(2021)165

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We work out the effective gravitational action for 2D massive Euclidean fermions in a small mass expansion. Besides the leading Liouville action, the order m(2) gravitational action contains a piece characteristic of the Mabuchi action, much as for 2D massive scalars, but also several non-local terms involving the Green's functions and Green's functions at coinciding points on the manifold.

引用

页数：34

共 16 条

[1] Bilal A., Liouville and Mabuchi quantum gravity at two and three loops
[2] 2D gravitational Mabuchi action on Riemann surfaces with boundaries
Bilal, Adel
de Lacroix, Corinne
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2017, (11):
[3] 2D quantum gravity on compact Riemann surfaces with non-conformal matter
Bilal, Adel
Leduc, Laetitia
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2017, (01):
[4] 2D quantum gravity at one loop with Liouville and Mabuchi actions
Bilal, Adel
Ferrari, Frank
Klevtsov, Semyon
[J]. NUCLEAR PHYSICS B, 2014, 880 : 203 - 224
[5] CONFORMAL FIELD-THEORIES COUPLED TO 2-D GRAVITY IN THE CONFORMAL GAUGE
DAVID, F
[J]. MODERN PHYSICS LETTERS A, 1988, 3 (17) : 1651 - 1656
[6] Minisuperspace computation of the Mabuchi spectrum
de Lacroix, Corinne
Erbin, Harold
Svanes, Eirik E.
[J]. CLASSICAL AND QUANTUM GRAVITY, 2018, 35 (18)
[7] Mabuchi spectrum from the minisuperspace
de Lacroix, Corinne
Erbin, Harold
Svanes, Eirik E.
[J]. PHYSICS LETTERS B, 2016, 758 : 186 - 189
[8] CONFORMAL FIELD-THEORY AND 2-D QUANTUM-GRAVITY
DISTLER, J
KAWAI, H
[J]. NUCLEAR PHYSICS B, 1989, 321 (02) : 509 - 527
[9] Gravitational actions in two dimensions and the Mabuchi functional
Ferrari, Frank
Klevtsov, Semyon
Zelditch, Steve
[J]. NUCLEAR PHYSICS B, 2012, 859 (03) : 341 - 369
[10] Lacoin H., ARXIV180701758

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