scholarly journals HIGH ENERGY SCATTERING IN THE QUASIPOTENTIAL APPROACH

2012 ◽  
Vol 27 (01) ◽  
pp. 1250004 ◽  
Author(s):  
SUAN HAN NGUYEN ◽  
THI HAI YEN LE ◽  
NHU XUAN NGUYEN
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Asymptotic Behavior ◽  
Scattering Amplitude ◽  
High Energy ◽  
Quantum Field ◽  
Quasipotential Approach ◽  
Scalar Particles ◽  
Systematic Scheme ◽  
High Energy Scattering

Asymptotic behavior of the scattering amplitude for two scalar particles by scalar, vector and tensor exchanges at high energy and fixed momentum transfers is reconsidered in quantum field theory. In the framework of the quasipotential approach and the modified perturbation theory a systematic scheme of finding the leading eikonal scattering amplitudes and its corrections are developed and constructed. The connection between the solutions obtained by quasipotential and functional approaches is also discussed. The first correction to leading eikonal amplitude is found.

scholarly journals BLACK HOLES, INFORMATION, AND LOCALITY

2007 ◽  
Vol 22 (39) ◽  
pp. 2949-2954 ◽  
Author(s):  
STEVEN B. GIDDINGS
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Cosmology ◽  
Good Alternative ◽  
Nonlocal Theory ◽  
High Energy ◽  
Quantum Field ◽  
Multiple Indicators ◽  
Local Quantum ◽  
High Energy Scattering

Three decades of a deepening information paradox suggest the need to revise our basic physical framework. Multiple indicators point toward reassessment of the principle of locality: lack of a precise definition in quantum gravity, behavior of high-energy scattering, hints from strings and AdS/CFT, conundrums of quantum cosmology, and finally lack of good alternative resolutions of the paradox. A plausible conjecture states that the non-perturbative dynamics of gravity is unitary but nonlocal. String theory may directly address these issues but so far important aspects remain elusive. If this viewpoint is correct, critical questions are to understand the "correspondence" limit where nonlocal physics reduces to local quantum field theory, and beyond, to unveil principles of an underlying nonlocal theory.

scholarly journals COMPUTER PROGRAMS FOR ANALYTICAL PERTURBATIVE CALCULATIONS IN HIGH ENERGY PHYSICS

1994 ◽  
Vol 05 (06) ◽  
pp. 1089-1101 ◽  
Author(s):  
LEVAN R. SURGULADZE
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
High Energy Physics ◽  
Short Review ◽  
High Energy ◽  
Quantum Field ◽  
Perturbative Calculations ◽  
Mathematical Algorithm ◽  
Recent Computer ◽  
Energy Physics

A short review of the present status of computer packages for the high order analytical perturbative calculations is presented. The mathematical algorithm and the quantum field theory methods used are briefly discussed. The most recent computer package HEPLoops for analytical computations in high energy physics up to four-loops is also discussed.

Variational formulation of relativistic four-body systems in quantum field theory: scalar quadronium

2002 ◽  
Vol 80 (5) ◽  
pp. 605-612
Author(s):  
B Ding ◽  
J W Darewych
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Fock Space ◽  
Hamiltonian Formalism ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Quantum Field ◽  
Scalar Particles ◽  
Pairwise Interactions ◽  
Approximate Wave

We discuss a variational method for describing relativistic four-body systems within the Hamiltonian formalism of quantum field theory. The scalar Yukawa (or Wick–Cutkosky) model, in which scalar particles and antiparticles interact via a massive or massless scalar field, is used to illustrate the method. A Fock-space variational trial state is used to describe the stationary states of scalar quadronium (two particles and two antiparticles) interacting via one-quantum exchange and virtual annihilation pairwise interactions. Numerical results for the ground-state mass and approximate wave functions of quadronium are presented for various strengths of the coupling, for the massive and massless quantum exchange cases. PACS Nos.: 11.10Ef, 11.10St, 03.70+k, 03.65Pm

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