13 citations · 34 across the 8 of their papers we have counts for
8 papers
Quantum Fields from Causal Order
Abhishek Mathur
We study different aspects of observer independent formulation of quantum field theory (QFT) in curved spacetime background. This thesis is broadly divided into two parts, in the f…
Null Geodesics from Ladder Molecules
Anish Bhattacharya, Abhishek Mathur, Sumati Surya
We propose a discrete analogue of null geodesics in causal sets that are approximated by a region of 2d Minkowski spacetime, in the spirit of Kronheimer and Penrose's "grids" and "…
Spacetime Entanglement Entropy: Covariance and Discreteness
Abhishek Mathur, Sumati Surya, Nomaan X
We review some recent results on Sorkin's spacetime formulation of the entanglement entropy (SSEE) for a free quantum scalar field both in the continuum and in manifold-like causal…
Spacetime Entanglement Entropy of de Sitter and Black Hole Horizons
Abhishek Mathur, Sumati Surya, Nomaan X
We calculate Sorkin's manifestly covariant entanglement entropy for a massive and massless minimally coupled free Gaussian scalar field for the de Sitter horizon and…
A Spacetime Calculation of the Calabrese-Cardy Entanglement Entropy
Abhishek Mathur, Sumati Surya, Nomaan X
We calculate Sorkin's spacetime entanglement entropy of a Gaussian scalar field for complementary regions in the 2d cylinder spacetime and show that it has the Calabrese-Cardy form…
Entropy and the Link Action in the Causal Set Path-Sum
Abhishek Mathur, Anup Anand Singh, Sumati Surya
In causal set theory the gravitational path integral is replaced by a path-sum over a sample space of -element causal sets. The contribution from non-manifold-like orders…
Sorkin-Johnston vacuum for a massive scalar field in the 2D causal diamond
Abhishek Mathur, Sumati Surya
We study the massive scalar field Sorkin-Johnston (SJ) Wightman function restricted to a flat 2D causal diamond of linear dimension L. Our approach is two-pronged. In the first, we…
Penrose Limit and Non-relativistic geometries
Abhishek Mathur, Yogesh K. Srivastava
For the AdS/CFT duality, considerations of plane wave metric which is obtained as Penrose limit of proved to be quite useful and interesting. In this work, we ob…