scholarly journals Hentschel: The Einstein Tower/Bull: Physik mit dem PC/Chawla: Composite Materials. Science and Engineering/Brennan: The Physics of Semiconductors/Huang: Quantum Field Theory. From Operators to Path Integrals/Quang/Pham: Elementary Particles and Their Inte

2000 ◽  
Vol 56 (2) ◽  
pp. 64-68
Author(s):  
Hans-Heinrich Voigt ◽  
Christoph Schlier ◽  
Karl Ulrich Kainer ◽  
Claus F. Klingshirn ◽  
Wolfgang Weller ◽  
...  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Composite Materials ◽  
Materials Science ◽  
Path Integrals ◽  
Elementary Particles ◽  
Quantum Field ◽  
Science And Engineering ◽  
Materials Science And Engineering

Quantum Field Theory: From Operators to Path Integrals

Physics Today ◽  
1999 ◽  
Vol 52 (11) ◽  
pp. 66-68 ◽  
Author(s):  
Kerson Huang ◽  
Michael E. Peskin
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Path Integrals ◽  
Quantum Field

A Concept of Explaining the Properties of Elementary Particles in Terms of Manifolds

1974 ◽  
Vol 29 (10) ◽  
pp. 1407-1417
Author(s):  
Julian Ławrynowicz ◽  
Leszek Wojtczak
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Riemannian Manifold ◽  
Riemannian Manifolds ◽  
Hilbert Spaces ◽  
Elementary Particles ◽  
Quantum Field ◽  
Satisfactory Explanation ◽  
The Moment ◽  
Physical Phenomena

Abstract The authors propose to explain the magnetic moment of elementary particles by a suitable choice of one pseudo-riemannian manifold - the space of observations - and two general Riemannian manifolds - the spaces of the particle connected with the external electromagnetic and nuclear fields, respectively. By a general Riemannian manifold the authors understand a Riemannian manifold whose associated tensor field is allowed to be degenerate. In this way the mass of a particle as well as its electromagnetic and nuclear properties are determined by means of manifolds and mappings between the corresponding Hilbert spaces. A nuclear reaction is then to be interpreted as a mapping between the corresponding pseudo-riemannian manifolds and the associated general Riemannian manifolds. The proposal, competitive to the quantum field theory, presents a different way of describing the properties of physical objects. At the moment it is difficult to decide whether this proposal will lead to a satisfactory explanation of more physical phenomena than those explained by means of the quantum field theory, since it needs further research.

Fermions and Functional Formalism

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Clifford Algebras ◽  
Path Integrals ◽  
Quantum Field ◽  
Functional Formalism ◽  
Grassmannian Manifold ◽  
Spinor Fields

The introduction of spinor fields and the problem of the positivity of the energy. Need for anti-commutators. Calculus in a Grassmannian manifold, the Berezin integral. Clifford algebras. Quantum mechanics and quantum field theory with fermions. The use of path integrals.

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