论文信息 - Boundary terms for causal sets

Boundary terms for causal sets

We propose a family of boundary terms for the action of a causal set with a spacelike boundary. We show that in the continuum limit one recovers the Gibbons-Hawking-York boundary term in the mean. We also calculate the continuum limit of the mean causal set action for an Alexandrov interval in flat spacetime. We find that it is equal to the volume of the codimension-2 intersection of the two light-cone boundaries of the interval.

[1] Sumati Surya,et al. Towards a Definition of Locality in a Manifoldlike Causal Set , 2013, 1309.3403.

[2] Fay Dowker,et al. Scalar curvature of a causal set. , 2010, Physical review letters.

[3] J. W. York. ROLE OF CONFORMAL THREE-GEOMETRY IN THE DYNAMICS OF GRAVITATION. , 1972 .

[4] Hayward. Gravitational action for spacetimes with nonsmooth boundaries. , 1993, Physical review. D, Particles and fields.

[5] Yasha Neiman,et al. On-shell actions with lightlike boundary data , 2012, 1212.2922.

[6] S. Surya,et al. Boundary term contribution to the volume of a small causal diamond , 2012, 1212.0629.

[7] Lisa Glaser. A closed form expression for the causal set d’Alembertian , 2014 .

[8] S. Hawking,et al. Action Integrals and Partition Functions in Quantum Gravity , 1977 .

[9] Bombelli,et al. Space-time as a causal set. , 1987, Physical review letters.

[10] Fay Dowker,et al. Causal set d'Alembertians for various dimensions , 2013, 1305.2588.

[11] Bernhard Schmitzer,et al. The random discrete action for two-dimensional spacetime , 2010, 1011.5191.

[12] The geometry of small causal diamonds , 2007, hep-th/0703098.