On the high-energy two-body problem in quantum field theory

Chapter 32 expounded the basic theory of quantum LB for the case of relativistic and non-relativistic wavefunctions, namely single-particle quantum mechanics. This chapter goes on to cover extensions of the quantum LB formalism to the overly challenging arena of quantum many-body problems and quantum field theory, along with an appraisal of prospective quantum computing implementations. Solving the single particle Schrodinger, or Dirac, equation in three dimensions is a computationally demanding task. This task, however, pales in front of the ordeal of solving the Schrodinger equation for the quantum many-body problem, namely a collection of many quantum particles, typically nuclei and electrons in a given atom or molecule.

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Comments on the Papers of Cushing and Redhead: "Models, High-Energy Theoretical Physics and Realism" and "Quantum Field Theory for Philosophers"

PSA Proceedings of the Biennial Meeting of the Philosophy of Science Association ◽

10.1086/psaprocbienmeetp.1982.2.192412 ◽

1982 ◽

Vol 1982 (2) ◽

pp. 100-111 ◽

Cited By ~ 1

Author(s):

Paul Teller

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

High Energy ◽

Theoretical Physics ◽

Quantum Field

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COMPUTER PROGRAMS FOR ANALYTICAL PERTURBATIVE CALCULATIONS IN HIGH ENERGY PHYSICS

International Journal of Modern Physics C ◽

10.1142/s0129183194001161 ◽

1994 ◽

Vol 05 (06) ◽

pp. 1089-1101 ◽

Cited By ~ 4

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.

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Perturbative polymer quantum field theory and high energy scalar propagator

Classical and Quantum Gravity ◽

10.1088/1361-6382/ab4dfd ◽

2019 ◽

Vol 36 (24) ◽

pp. 245007

Author(s):

Ernesto Flores-González ◽

Hugo A Morales-Técotl

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

High Energy ◽

Quantum Field ◽

Energy Scalar

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On the Calculation of Nonlinear Spinor Field Functionals

Zeitschrift für Naturforschung A ◽

10.1515/zna-1971-0402 ◽

1971 ◽

Vol 26 (4) ◽

pp. 623-630 ◽

Cited By ~ 4

Author(s):

H Stumpf

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Quantum Theory ◽

Spinor Field ◽

Functional Equations ◽

High Energy ◽

Quantum Field ◽

Nonlinear Spinor ◽

Physical Problems ◽

Physical Information

Abstract Dynamics of quantum field theory can be formulated by functional equations. To develop a complete functional quantum theory one has to describe the physical information by functional operations only. Such operations have been defined in preceding papers. To apply these operations to physical problems, the corresponding functionals have to be known. Therefore in this paper calculational procedures for functionals are discussed. As high energy phenomena are of interest, the calculational procedures are given for spinor field functionals. Especially a method for the calculation of stationary and Fermion-Fermion scattering functionals is proposed.

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