On the scattering problem in axiomatic field theory

1973 ◽  
Vol 24 (3) ◽  
pp. 325-330
Author(s):  
Yu. M. Berezanskii
Keyword(s):  
Field Theory ◽  
Scattering Problem ◽  
Axiomatic Field Theory

scholarly journals Spin effects in the effective field theory approach to Post-Minkowskian conservative dynamics

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Zhengwen Liu ◽  
Rafael A. Porto ◽  
Zixin Yang
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Scattering Problem ◽  
Finite Size ◽  
Effective Field ◽  
Compact Objects ◽  
Scattering Data ◽  
Theory Approach ◽  
Spin Effects ◽  
Radial Action

Abstract Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a manifestly covariant framework. We introduce a systematic procedure to compute the total change in momentum and spin in the gravitational scattering of compact objects. For the special case of spins aligned with the orbital angular momentum, we show how to construct the radial action for elliptic-like orbits using the Boundary-to-Bound correspondence. As a paradigmatic example, we solve the scattering problem to next-to-leading PM order with linear and bilinear spin effects and arbitrary initial conditions, incorporating for the first time finite-size corrections. We obtain the aligned-spin radial action from the resulting scattering data, and derive the periastron advance and binding energy for circular orbits. We also provide the (square of the) center-of-mass momentum to $$ \mathcal{O}\left({G}^2\right) $$ O G 2 , which may be used to reconstruct a Hamiltonian. Our results are in perfect agreement with the existent literature, while at the same time extend the knowledge of the PM dynamics of compact binaries at quadratic order in spins.

INTEGRABLE MODELS OF FIELD THEORY AND SCATTERING ON QUANTUM HYPERBOLOIDS

1992 ◽  
Vol 07 (05) ◽  
pp. 441-446 ◽  
Author(s):  
A. ZABRODIN
Keyword(s):  
Field Theory ◽  
Symmetric Space ◽  
Quantum Group ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Free Particle ◽  
Compact Quantum Group ◽  
Integrable Models ◽  
S Wave

We consider the scattering of two dressed excitations in the antiferromagnetic XXZ spin-1/2 chain and show that it is equivalent to the S-wave scattering problem for a free particle on the certain quantum symmetric space “quantum hyperboloid” related to the non-compact quantum group SU q (1, 1).

What is the point of so‐called “axiomatic field theory”?

Physics Today ◽  
1969 ◽  
Vol 22 (9) ◽  
pp. 53-58 ◽  
Author(s):  
Arthur S. Wightman
Keyword(s):  
Field Theory ◽  
Axiomatic Field Theory

Axiomatic field theory in terms of operator Jacobi matrices

1971 ◽  
Vol 8 (2) ◽  
pp. 754-765 ◽  
Author(s):  
Yu. M. Berezanskii ◽  
V. D. Koshmanenko
Keyword(s):  
Field Theory ◽  
Jacobi Matrices ◽  
Axiomatic Field Theory

Whither Axiomatic Field Theory?

1969 ◽  
Vol 41 (4) ◽  
pp. 576-580 ◽  
Author(s):  
ARTHUR M. JAFFE
Keyword(s):  
Field Theory ◽  
Axiomatic Field Theory
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