Green functions of scalar particles in stochastic fields

1989 ◽  
Vol 28 (12) ◽  
pp. 1463-1482 ◽  
Author(s):  
M. Dineykhan ◽  
G. V. Efimov ◽  
Kh. Namsrai
Keyword(s):  
Green Functions ◽  
Scalar Particles ◽  
Stochastic Fields

scholarly journals TACHYONS IN DE SITTER SPACE AND ANALYTICAL CONTINUATION FROM dS/CFT TO AdS/CFT

2004 ◽  
Vol 19 (29) ◽  
pp. 4985-5001 ◽  
Author(s):  
M. CADONI ◽  
P. CARTA
Keyword(s):  
Analytic Continuation ◽  
De Sitter Space ◽  
Space Time ◽  
Analytical Continuation ◽  
Green Functions ◽  
De Sitter ◽  
Field Equations ◽  
Scalar Particles

We discuss analytic continuation from d-dimensional Lorentzian de Sitter ( dS d) to d-dimensional Lorentzian anti-de Sitter ( AdS d) space–time. We show that AdS d, with opposite signature of the metric, can be obtained as analytic continuation of a portion of dS d. This implies that the dynamics of (positive square-mass) scalar particles in AdS d can be obtained from the dynamics of tachyons in dS d. We discuss this correspondence both at the level of the solution of the field equations and of the Green functions. The AdS / CFT duality is obtained as analytic continuation of the dS / CFT duality.

Interaction of Scalar Particles via a Tachyon Field: Scattering Problem

2014 ◽  
Vol 59 (8) ◽  
pp. 749-754-749-754
Author(s):  
I. Zahladko ◽  
Keyword(s):  
Scattering Problem ◽  
Tachyon Field ◽  
Scalar Particles

scholarly journals Bulk-Boundary Correspondence for Non-Hermitian Hamiltonians via Green Functions

2021 ◽  
Vol 126 (21) ◽  
Author(s):  
Heinrich-Gregor Zirnstein ◽  
Gil Refael ◽  
Bernd Rosenow
Keyword(s):  
Green Functions ◽  
Boundary Correspondence

Green functions for confined quarks

1976 ◽  
Vol 109 (3) ◽  
pp. 421-438 ◽  
Author(s):  
C.J. Hamer
Keyword(s):  
Green Functions

scholarly journals Levinson-type inequalities via new Green functions and Montgomery identity

2020 ◽  
Vol 18 (1) ◽  
pp. 632-652 ◽  
Author(s):  
Muhammad Adeel ◽  
Khuram Ali Khan ◽  
Ðilda Pečarić ◽  
Josip Pečarić
Keyword(s):  
Convex Functions ◽  
Green Functions ◽  
Montgomery Identity ◽  
Data Points

Abstract In this study, Levinson-type inequalities are generalized by using new Green functions and Montgomery identity for the class of k-convex functions (k ≥ 3). Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points of two types. Moreover, a new functional is introduced based on {\mathfrak{f}} divergence and then some estimates for new functional are obtained. Some inequalities for Shannon entropies are obtained too.

scholarly journals Optimal paths of nonequilibrium stochastic fields: The Kardar-Parisi-Zhang interface as a test case

2019 ◽  
Vol 1 (3) ◽  
Author(s):  
Alexander K. Hartmann ◽  
Baruch Meerson ◽  
Pavel Sasorov
Keyword(s):  
Test Case ◽  
Stochastic Fields ◽  
Optimal Paths

scholarly journals Black hole S-matrix for a scalar field

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Panos Betzios ◽  
Nava Gaddam ◽  
Olga Papadoulaki
Keyword(s):  
Black Hole ◽  
Normal Modes ◽  
Massless Scalar ◽  
Scattering Process ◽  
Schwarzschild Black Hole ◽  
Asymptotically Flat ◽  
Scalar Particles ◽  
Black Hole Background ◽  
S Matrix ◽  
Do So

Abstract We describe a unitary scattering process, as observed from spatial infinity, of massless scalar particles on an asymptotically flat Schwarzschild black hole background. In order to do so, we split the problem in two different regimes governing the dynamics of the scattering process. The first describes the evolution of the modes in the region away from the horizon and can be analysed in terms of the effective Regge-Wheeler potential. In the near horizon region, where the Regge-Wheeler potential becomes insignificant, the WKB geometric optics approximation of Hawking’s is replaced by the near-horizon gravitational scattering matrix that captures non-perturbative soft graviton exchanges near the horizon. We perform an appropriate matching for the scattering solutions of these two dynamical problems and compute the resulting Bogoliubov relations, that combines both dynamics. This allows us to formulate an S-matrix for the scattering process that is manifestly unitary. We discuss the analogue of the (quasi)-normal modes in this setup and the emergence of gravitational echoes that follow an original burst of radiation as the excited black hole relaxes to equilibrium.

Integrals of the motion, green functions, and coherent states of dynamical systems

1975 ◽  
Vol 14 (1) ◽  
pp. 37-54 ◽  
Author(s):  
V. V. Dodonov ◽  
I. A. Malkin ◽  
V. I. Man'ko
Keyword(s):  
Dynamical Systems ◽  
Coherent States ◽  
Green Functions
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