Functional Quantum Theory of Scattering Processes. III

1971 ◽  
Vol 26 (10) ◽  
pp. 1723-1729 ◽  
Author(s):  
H. Stumpf ◽  
W. Engeser ◽  
K. Illig
Keyword(s):  
Quantum Theory ◽  
Particle Physics ◽  
Functional Equations ◽  
Quantum Field ◽  
Elementary Particle Physics ◽  
System A ◽  
S Matrix ◽  
The Matrix ◽  
Physical Information ◽  
Operator Representations

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. The most important physical information of elementary particle physics is the matrix. In this paper the functional S-matrix is constructed for nonrelativistic spin 1/2 fermions, as in this system a rigorous construction of operator representations is possible. The method of S-matrix derivation used in I and II is improved and the exact perturbation solution for the scattering functionals is given.

Functional Quantum Theory of Scattering Processes. II

1970 ◽  
Vol 25 (6) ◽  
pp. 795-803 ◽  
Author(s):  
H. Stumpf
Keyword(s):  
Quantum Theory ◽  
Particle Physics ◽  
Functional Equations ◽  
Potential Scattering ◽  
Quantum Field ◽  
Elementary Particle Physics ◽  
Calculational Method ◽  
S Matrix ◽  
Physical Information ◽  
Technical Details

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. The most important physical information of elementary particle physics is the S'-matrix. In this paper the functional S'-matrix is constructed for relativistic spin 1/2 fermion scattering in nonlinear spinortheory with noncanonical relativistic Heisenberg quantization. With appropriate modifications the procedure runs on the same pattern as in the case of nonrelativistic potential scattering treated in I. Furthermore a calculational method for scattering functionals is proposed. In the appendices technical details are discussed.

Functional Quantum Theory of Scattering Processes I

1969 ◽  
Vol 24 (6) ◽  
pp. 1022-1029 ◽  
Author(s):  
H. Stumpf
Keyword(s):  
Quantum Theory ◽  
Particle Physics ◽  
Functional Expression ◽  
Potential Scattering ◽  
Quantum Field ◽  
Elementary Particle Physics ◽  
Calculational Method ◽  
S Matrix ◽  
Physical Information ◽  
Technical Details

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. One of the most important physical information of elementary particle physics is the S-matrix. To derive a functional expression for this quantity the potential scattering model is studied. A func­tional S-matrix is defined and its equivalence with the ordinary S-matrix definition in physical Hilbert space is proven. Also a calculational method for scattering functionals is proposed. In the appendices technical details are discussed.

Functional Quantum Theory of Scattering Processes. IV

1971 ◽  
Vol 26 (10) ◽  
pp. 1730-1739
Author(s):  
H. Stumpf
Keyword(s):  
Quantum Theory ◽  
Particle Physics ◽  
Elementary Particle Physics ◽  
S Matrix ◽  
Physical Information ◽  
Technical Details ◽  
Definition Of ◽  
Functional Matrix ◽  
Dressed Particles ◽  
Spinor Field Equation

Abstract Dynamics of quantum field theory can be formulated by functional equations. To develop a complete functional quantum theory the physical information has to be given by functional operations only. The most important physical information of elementary particle physics is the S-matrix. In this paper the functional ^-matrix is constructed for the scattering of relativistic dressed particles, i.e. for particles with structural properties. The basic functional equation is assumed to be derived from a nonlinear spinor field equation with noncanonical relativistic Heisenberg quantization. The initial free dressed many particle states are defined, and the scattering functionals are constructed. By the use of irreducible representations the equivalence of the functional S-matrix with the conventional Hilbert space definition is shown with respect to an appropriate definition of the functional scalar product. Technical details are discussed in the appendices.

On the Calculation of Nonlinear Spinor Field Functionals

1971 ◽  
Vol 26 (4) ◽  
pp. 623-630 ◽  
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.

On the Derivation of the L.S.Z.-Reduction Formalism in Functional Quantum Theory

1981 ◽  
Vol 36 (10) ◽  
pp. 1021-1023 ◽  
Author(s):  
H. Stumpf
Keyword(s):  
Quantum Theory ◽  
Scalar Product ◽  
Potential Scattering ◽  
Quantum Field ◽  
Relativistic Field ◽  
Scattering States ◽  
S Matrix ◽  
The Matrix ◽  
Relativistic Potential ◽  
Matrix Calculation

In functional quantum theory the S-matrix of a quantized relativistic field can be expressed by the scalar product of functional advanced and retarded scattering states. It is shown that for point like particles this scalar product can be reformulated in accordance with the results of the L.S.Z.-reduction technique for the ^-matrix calculation in conventional quantum field theory. The reformulation is performed for the case of relativistic potential scattering but can easily be extended to other cases where the point like particles occur.

scholarly journals The future (and past) of quantum theory after the Higgs boson: a quantum-informational viewpoint

2016 ◽  
Vol 374 (2068) ◽  
pp. 20150239 ◽  
Author(s):  
Arkady Plotnitsky
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Information Theory ◽  
Quantum Theory ◽  
Quantum Information ◽  
Higgs Boson ◽  
Particle Physics ◽  
Quantum Information Theory ◽  
Quantum Field ◽  
Elementary Particle Physics

Taking as its point of departure the discovery of the Higgs boson, this article considers quantum theory, including quantum field theory, which predicted the Higgs boson, through the combined perspective of quantum information theory and the idea of technology, while also adopting a non-realist interpretation, in ‘the spirit of Copenhagen’, of quantum theory and quantum phenomena themselves. The article argues that the ‘events’ in question in fundamental physics, such as the discovery of the Higgs boson (a particularly complex and dramatic, but not essentially different, case), are made possible by the joint workings of three technologies: experimental technology, mathematical technology and, more recently, digital computer technology. The article will consider the role of and the relationships among these technologies, focusing on experimental and mathematical technologies, in quantum mechanics (QM), quantum field theory (QFT) and finite-dimensional quantum theory, with which quantum information theory has been primarily concerned thus far. It will do so, in part, by reassessing the history of quantum theory, beginning with Heisenberg's discovery of QM, in quantum-informational and technological terms. This history, the article argues, is defined by the discoveries of increasingly complex configurations of observed phenomena and the emergence of the increasingly complex mathematical formalism accounting for these phenomena, culminating in the standard model of elementary-particle physics, defining the current state of QFT.

On the Quantum Theory of the Anharmonic Oscillator in Functional Space

1969 ◽  
Vol 24 (2) ◽  
pp. 188-197 ◽  
Author(s):  
H. Stumpf
Keyword(s):  
Field Theory ◽  
Quantum Theory ◽  
Functional Equations ◽  
Scalar Product ◽  
Anharmonic Oscillator ◽  
Functional Space ◽  
Solution Procedure ◽  
Field Theories ◽  
Quantum Field ◽  
Product Definition

Dynamics of quantum field theory can be formulated by functional equations. For strong inter­action nonperturbative solutions of these functional equations are required. For the investigation of solution procedures the model of an anharmonic oscillator is used, because of its structural equi­valence with dressed one- and two-particel states of field theory. To perform a variational solution procedure a scalar product for the state functionals is introduced and its existence is proven. The scalar product definition admits a mapping of the physical Hilbert space on the functional space. Therefore a “functional” quantum theory seems to be possible. The whole procedure can be transferred to relativistic invariant field theories, provided these theories are regularized to give finite results at all.

scholarly journals SURPRISES IN NONPERTURBATIVE DYNAMICS IN σ-MODEL AT FINITE DENSITY

2004 ◽  
Vol 19 (18) ◽  
pp. 1341-1356 ◽  
Author(s):  
V. P. GUSYNIN ◽  
V. A. MIRANSKY ◽  
I. A. SHOVKOVY
Keyword(s):  
Elementary Particle ◽  
Field Theory ◽  
Quantum Field Theory ◽  
Particle Physics ◽  
Chemical Potential ◽  
High Density ◽  
Quantum Field ◽  
Finite Density ◽  
Elementary Particle Physics ◽  
Kaon Condensate

The linear SU (2)L× SU (2)R σ-model occupies a unique place in elementary particle physics and quantum field theory. It has been recently realized that when a chemical potential for hypercharge is added, it becomes a toy model for the description of the dynamics of the kaon condensate in high density QCD. We review recent results in nonperturbative dynamics obtained in the ungauged and gauged versions of this model.

Functional Quantum Theory of Free Relativistic Scalar Fields

1971 ◽  
Vol 26 (9) ◽  
pp. 1553-1558 ◽  
Author(s):  
W. Bauhoff
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Theory ◽  
Functional Equations ◽  
Scalar Product ◽  
Functional Space ◽  
Scalar Fields ◽  
Quantum Field ◽  
Isometric Mapping ◽  
Free Scalar

Abstract Dynamics of quantum field theory can be formulated by functional equations. Starting with the Schwinger functionals of the free scalar field, functional equations and corresponding many particle functionals are derived. To establish a complete functional quantum theory, a scalar product in functional space has to be defined as an isometric mapping of physical Hilbert space into the functional space.

DIQUARKS IN ELEMENTARY PARTICLE PHYSICS

1989 ◽  
Vol 04 (16) ◽  
pp. 3985-4035 ◽  
Author(s):  
MAREK SZCZEKOWSKI
Keyword(s):  
Elementary Particle ◽  
Particle Physics ◽  
High Energy ◽  
Strong Interactions ◽  
Quantum Field ◽  
High Transverse Momentum ◽  
Elementary Particle Physics ◽  
Proton Production ◽  
Baryon Mass ◽  
Split Field

Many phenomena in elementary particle physics show indications of clustering of two quarks inside baryons. Although the existence of such diquark systems cannot be presently rigorously proven in quantum field theory of strong interactions, phenomenological models require some quark-quark binding to explain effects ranging from the baryon mass spectrum to large pT proton production in high energy pp collisions. This review confronts diquark models predictions with experimental results in low and high transverse momentum hadron-hadron collisions, lepton-nucleon scattering and e+e− annihilations. The recent data from the Split Field Magnet detector on high pT proton production in pp, dd and αα collisions at ISR energies are particularly emphasized.

Sign in / Sign up

Export Citation Format

Share Document