BF gravity

被引:51
作者
Celada, Mariano [1 ]
Gonzalez, Diego [1 ]
Montesinos, Merced [1 ,2 ]
机构
[1] Inst Politecn Nacl, CINVESTAV, Dept Fis, 2508 San Pedro Zacatenco, Ciudad De Mexico 07360, Mexico
[2] Benemerita Univ Autonoma Puebla, Inst Ciencias, Dept Matemat, Ciudad Univ, Puebla 72572, Mexico
关键词
Plebanski formulation; deformed BF theory; general relativity; quantum gravity; BLACK-HOLE ENTROPY; GENERAL-RELATIVITY; SPIN-CONNECTION; GAUGE-THEORY; HAMILTONIAN ANALYSIS; BETA-FUNCTION; QUANTUM; FORMALISM; VARIABLES; AREA;
D O I
10.1088/0264-9381/33/21/213001
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
BF gravity comprises all the formulations of gravity that are based on deformations of BF theory. Such deformations consist of either constraints or potential terms added to the topological BF action that turn some of the gauge degrees of freedom into physical ones, particularly giving rise to general relativity. The BF formulations have provided new and deep insights into many classical and quantum aspects of the gravitational field, setting the foundations for the approach to quantum gravity known as spinfoam models. In this review, we present a self-contained and unified treatment of the BF formulations of D-dimensional general relativity and other related models, focusing on the classical aspects of them and including some new results.
引用
收藏
页数:54
相关论文
共 140 条
[1]  
Achour J B, 2015, PHYS REV D, V91
[2]   Black hole state counting in loop quantum gravity:: A number-theoretical approach [J].
Agullo, Ivan ;
Barbero G., J. Fernando ;
Diaz-Polo, Jacobo ;
Fernandez-Borja, Enrique ;
Villasenor, Eduardo J. S. .
PHYSICAL REVIEW LETTERS, 2008, 100 (21)
[3]   Plebanski theory and covariant canonical formulation [J].
Alexandrov, S. ;
Buffenoir, E. ;
Roche, Ph .
CLASSICAL AND QUANTUM GRAVITY, 2007, 24 (11) :2809-2824
[4]   SU(2) loop quantum gravity seen from covariant theory -: art. no. 044009 [J].
Alexandrov, S ;
Livine, ER .
PHYSICAL REVIEW D, 2003, 67 (04)
[5]   Choice of connection in loop quantum gravity [J].
Alexandrov, S .
PHYSICAL REVIEW D, 2002, 65 (02)
[6]   Area spectrum in Lorentz covariant loop gravity [J].
Alexandrov, S ;
Vassilevich, D .
PHYSICAL REVIEW D, 2001, 64 (04)
[7]   Spin Foams and Canonical Quantization [J].
Alexandrov, Sergei ;
Geiller, Marc ;
Noui, Karim .
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2012, 8
[8]   Hamiltonian analysis of non-chiral Plebanski theory and its generalizations [J].
Alexandrov, Sergei ;
Krasnov, Kirill .
CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (05)
[9]   The Immirzi parameter and fermions with non-minimal coupling [J].
Alexandrov, Sergei .
CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (14)
[10]  
[Anonymous], 2006, ARXIVHEPTH0611182