scholarly journals Thermal and two-particle stress-energy must be ill defined on the two-dimensional Misner space chronology horizon

1998 ◽  
Vol 57 (2) ◽  
pp. 1052-1056 ◽  
Author(s):  
Claes R. Cramer ◽  
Bernard S. Kay
Keyword(s):  
Two Dimensional ◽  
Stress Energy ◽  
Misner Space

scholarly journals ADM MASS, BONDI MASS, AND ENERGY CONSERVATION IN TWO-DIMENSIONAL DILATON GRAVITIES

1996 ◽  
Vol 11 (03) ◽  
pp. 553-561 ◽  
Author(s):  
WON T. KIM ◽  
JULIAN LEE
Keyword(s):  
Boundary Condition ◽  
Energy Conservation ◽  
Radiation Energy ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
Null Infinity ◽  
Adm Mass ◽  
Stress Energy ◽  
Bondi Mass ◽  
Definition Of

We show how a stress-energy pseudotensor can be constructed in two-dimensional dilaton gravity theories (classical, CGHS and RST) and derive from it the expression for the ADM mass in these theories. We compare this expression with the ones in the literature obtained by other methods. We define the Bondi mass for these theories by using the pseudotensor formalism. The resulting expression is the generalization of the expression for the ADM mass. The boundary condition needed for the energy conservation is also investigated. It is shown that under appropriate boundary conditions, our definition of the Bondi mass is exactly the ADM mass minus the matter radiation energy at null infinity.

scholarly journals ANOMALIES AND EFFECTIVE ACTIONS IN TWO-DIMENSIONAL SUPERSPACE

1992 ◽  
Vol 07 (08) ◽  
pp. 1685-1704 ◽  
Author(s):  
FRANÇOIS DELDUC ◽  
FRANÇOIS GIERES
Keyword(s):  
Effective Action ◽  
Riemann Surfaces ◽  
Two Dimensional ◽  
Ward Identities ◽  
Stress Energy ◽  
Super Riemann Surfaces

We derive a chirally split expression for the superdiffeomorphism anomaly in the two-dimensional superplane. The effective action from which this anomaly was obtained is related to the WZ-action associated with the superdiffeomorphism group. Furthermore, we show that the anomalous Ward identities generated by supercoordinate transformations encompass the wellknown OPE’s for the stress-energy supertensor. In conclusion, the extension to generic super Riemann surfaces is discussed.

Hodge Theory on Compact Two-Dimensional Spacetimes and the Uniqueness ofgijwith a SpecifiedRij

1987 ◽  
Vol 39 (6) ◽  
pp. 1459-1474
Author(s):  
Edwin Ihrig
Keyword(s):  
Ricci Tensor ◽  
Energy Tensor ◽  
Main Question ◽  
Two Dimensional ◽  
Stress Energy Tensor ◽  
Riemann Curvature ◽  
Einstein’S Equations ◽  
Einstein's Equations ◽  
Stress Energy ◽  
Curvature Tensors

The main question we wish to address in this paper is to what extent does the Ricci curvature of a spacetime determine the metric of that spacetime. Although it is relatively easy to see that the full Riemann curvature uniquely determines the metric for a generic choice of curvature tensors (see[4], [10], [11], [14] and [15], and the references contained therein), very little has been discovered about whether, if ever, Ric (or the stress energy tensor in Einstein's equations for that matter) determinesg. Most exact solution techniques for Einstein's equations look only for solutions that have the same symmetries as Ric. It is not true in general thatgmust inherit the symmetries of Ric. It is not even clear that there is a Ric such that everygwith this Ricci tensor is known.

POYNTING FLUX DOMINATED ACCRETION FLOW: A TWO-DIMENSIONAL MODEL

2006 ◽  
Vol 21 (03) ◽  
pp. 181-196
Author(s):  
HYUN KYU LEE
Keyword(s):  
Magnetic Field ◽  
Angular Velocity ◽  
Accretion Disk ◽  
Magnetic Surface ◽  
Energy Tensor ◽  
Two Dimensional ◽  
Accretion Flow ◽  
Poynting Flux ◽  
Stress Energy ◽  
The Magnetic Field

The dynamics of the accretion flow onto a black hole driven by Poynting flux is discussed in a simplified model of a two-dimensional accretion disk on equatorial plane. In an axisymmetric, stationary and force-free magnetosphere, the accretion flow is described by the three accretion equations obtained from the conservation of stress–energy tensor and one stream equation for a force-free magnetosphere. It is found that the angular velocity of the magnetic surface can be obtained by the dynamics of the accreting matter, [Formula: see text]. The effect of the magnetic field on the accretion flow is discussed in detail using the paraboloidal type configuration suggested by Blandford in 1976. In numerical analysis, it is demonstrated that the angular velocity of the disk, ΩD, deviates from the Keplerian angular velocity and the dynamics of the accretion disk is found to depend strongly on the ratio of the accretion rate to the magnetic field strength.

scholarly journals Composite operators in $$ T\overline{T} $$-deformed free QFTs

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Anshuman Dey ◽  
Mikhail Goykhman ◽  
Michael Smolkin
Keyword(s):  
Free Field ◽  
Perturbative Expansion ◽  
Field Theories ◽  
Energy Tensor ◽  
Two Dimensional ◽  
Stress Energy Tensor ◽  
Massless Theory ◽  
Stress Energy ◽  
Perturbative Renormalization ◽  
Massive Theory

Abstract We study perturbative renormalization of the composite operators in the $$ T\overline{T} $$ T T ¯ -deformed two-dimensional free field theories. The pattern of renormalization for the stress-energy tensor is different in the massive and massless cases. While in the latter case the canonical stress tensor is not renormalized up to high order in the perturbative expansion, in the massive theory there are induced counterterms at linear order. For a massless theory our results match the general formula derived recently in [1].

scholarly journals QUANTUM ENERGY INEQUALITIES IN TWO-DIMENSIONAL CONFORMAL FIELD THEORY

2005 ◽  
Vol 17 (05) ◽  
pp. 577-612 ◽  
Author(s):  
CHRISTOPHER J. FEWSTER ◽  
STEFAN HOLLANDS
Keyword(s):  
Field Theories ◽  
Positive Energy ◽  
Energy Tensor ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Stress Energy Tensor ◽  
Quantum Energy ◽  
Conformal Field ◽  
Quantum Energy Inequalities ◽  
Stress Energy

Quantum energy inequalities (QEIs) are state-independent lower bounds on weighted averages of the stress-energy tensor, and have been established for several free quantum field models. We present rigorous QEI bounds for a class of interacting quantum fields, namely the unitary, positive energy conformal field theories (with stress-energy tensor) on two-dimensional Minkowski space. The QEI bound depends on the weight used to average the stress-energy tensor and the central charge(s) of the theory, but not on the quantum state. We give bounds for various situations: averaging along timelike, null and spacelike curves, as well as over a space-time volume. In addition, we consider boundary conformal field theories and more general "moving mirror" models. Our results hold for all theories obeying a minimal set of axioms which — as we show — are satisfied by all models built from unitary highest-weight representations of the Virasoro algebra. In particular, this includes all (unitary, positive energy) minimal models and rational conformal field theories. Our discussion of this issue collects together (and, in places, corrects) various results from the literature which do not appear to have been assembled in this form elsewhere.

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