Causal spin foams
Oct 14, 2016Citations per year
Abstract: (arXiv)
I discuss how to impose causality on spin-foam models, separating forward and backward propagation, turning a given triangulation to a 'causal set', and giving asymptotically the exponential of the Regge action, not a cosine. I show the equivalence of the prescriptions which have been proposed to achieve this. Essential to the argument is the closure condition for the 4-simplices, all made of space-like tetrahedra.Note:
- 7 pages, 1 figure; rewritten, perhaps improved
- action: Regge
- spin: foam
- causality
- triangulation
- propagator
- causal set
- simplex
- quantum gravity
- Ponzano-Regge model
References(28)
Figures(0)
- [1]
- •
- Class.Quant.Grav. 17 (2000) 3101-3118
- e-Print:•
- [2]
- •
- Nuovo Cim. 19 (1961) 558-571
- DOI:
- [3]
- •
- Phys.Rev.D 68 (2003) 104008
- e-Print:•
- [4]
- •
- Class.Quant.Grav. 32 (2015) 12, 124005
- e-Print:•
- [5]
- •
- Phys.Rev.Lett. 94 (2005) 111301
- e-Print:•
- [5]
- •
- Nucl.Phys.B 663 (2003) 231-279
- e-Print:•
- [7]
- ,
- ,
- ,
- •
- Nucl.Phys.B 799 (2008) 136-149
- e-Print:•
- [8]
- ,
- •
- Class.Quant.Grav. 25 (2008) 125018
- e-Print:•
- [9]
- ,
- ,
- ,
- ,
- •
- Class.Quant.Grav. 27 (2010) 165009
- e-Print:•
- [10]
- •
- Class.Quant.Grav. 31 (2014) 015009
- e-Print:•
- [11]
- •
- Gen.Rel.Grav. 46 (2014) 1616
- e-Print:•
- [12]
- •
- Phys.Rev.D 93 (2016) 8, 084039
- e-Print:•
- [13]
- •
- Class.Quant.Grav. 32 (2015) 1, 015016
- e-Print:•
- [15]
- ,
- ,
- ,
- •
- Phys.Rev.Lett. 59 (1987) 521-524
- [16]
- •
- Class.Quant.Grav. 31 (2014) 095016
- e-Print:•
- [17]
- ,
- •
- Phys.Rev.D 94 (2016) 6, 064024
- e-Print:•
- [18]
- ,
- ,
- •
- Phys.Rev.D 94 (2016) 6, 064025
- e-Print:•
- [19]
- •
- Phys.Rev.D 86 (2012) 064002
- e-Print:•
- [19]
- ,
- ,
- ,
- ,
- •
- Class.Quant.Grav. 30 (2013) 055009
- e-Print:•
- [19]
- •
- Int.J.Mod.Phys.D 21 (2012) 1242014
- e-Print:•
- [20]
- ,
- ,
- ,
- ,
- •
- Int.J.Theor.Phys. 36 (1997) 815-840
- e-Print:•
- DOI:
- [21]
- •
- Phys.Rev.D 93 (2016) 2, 023502
- e-Print:•