Canonical Chern-Simons gravity

Abstract

We study the canonical description of the axisymmetric vacuum in 2+1 dimensional gravity, treating Einstein's gravity as a Chern Simons gauge theory on a manifold with the restriction that the dreibein is invertible. Our treatment is in the spirit of Kuchař's description of the Schwarzschild black hole in 3+1 dimensions, where the mass and angular momentum are expressed in terms of the canonical variables and a series of canonical transformations are performed that turn the curvature coordinates and their conjugate momenta into new canonical variables. In their final form, the constraints are seen to require that the momenta conjugate to the Killing time and curvature radius vanish and what remains are the mass, the angular momentum and their conjugate momenta, which we derive. The Wheeler-DeWitt equation is trivial and describes time independent systems with wave functions described only by the total mass and total angular momentum.

Redshift space distortion of 21 cm line at 1 < $z$ < 5 with cosmological hydrodynamic simulations

“…Compared with the previous work by Sarkar & Bharadwaj (2018), we find significant disagreement on the values of Hi bias for the entire redshift range, which may mainly arise from the prescription of the Hi gas assignment to the dark matter halos in an N-body simulation by Sarkar & Bharadwaj (2018). On the other hand, the best-fitting values of our velocity dispersion are fairly consistent with the previous work within the statistical error of the single box simulation.…”

“…Therefore, considering more realistic models or measurements from numerical simulations is of great importance for robust cosmological analyses. To predict the Hi bias, halo model approach has been considered (Padmanabhan et al 2017;Pénin et al 2018), and several work have been done using pure N-body simulations (Sarkar et al 2016;Sarkar & Bharadwaj 2018). They do not fully solve the radiative transfer but populate the Hi according to the mass of the host dark matter halo.…”

“…For both panels, the square symbols with error bars and the blue crosses correspond to the fitting results with the TNS model to the non-smoothed and high-angular resolution data, respectively. For both panels, also shown with orange dashed-dotted-line and the diamond symbols is the best-fitting model of B1 (HC) ofSarkar & Bharadwaj (2018). The results from TNG simulation (Villaescusa-Navarro et al 2018) are shown with grey dotted lines with circles in both panels.…”

Chiral symmetry breaking, color superconductivity, and equation of state for magnetized strange quark matter

“…We have considered here quark anti-quark pairing and diquark pairing in the ansatz for ground state which is homogeneous with zero total momentum. However it is possible that the condensates be spatially inhomogeneous [63] with a net total momentum [64][65][66][67]. Indeed, the gapless modes for the charge neutral matter leads to instability arising from imaginary Meissener masses for some of the gluons when δµ > ∆ [61].…”

The $\eta$η/s of the LQCD-EoS complied hadron gas of different sizes approach common minimum near the crossover temperature

“…These studies also consider different hard-core radius of constituent hadrons for implementing the Excluded volume effect and the parameters related to the Hagedorn mass spectrum. To define the system for our targeted study, we choose, depending on previous studies, the values of the system-parameters which are optimized [32,38] for simultaneous consideration of the EV effect and inclusion of the Hagedorn States (HS). We set the Hagedorn parameters for our study as: M 0 = 2.0 GeV, T H = 160 MeV, m 0 = 0.5 GeV, a = 5 4 and C = 0.05GeV 3/2 .…”