Nonperturbative Quantum Field Theory and the Structure of Matter

Borne, Thomas; Lochak, Georges; Stumpf, Harald

doi:10.1007/0-306-47131-0

Cited by 20 publications

(39 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These equations of motion can be exactly derived from equation (21) of [6], if correlations in the matrix elements are suppressed. For details of the corresponding deduction we refer to [13], section 7.5 for instance.…”

Section: Effective Canonical Equations Of Motionmentioning

confidence: 99%

“…For the interpretation of (13) it is important to realize that the (T γ 5 ) and (Sγ 5 ) matrices in (13) arise from matrix elements between two three-parton states which characterize the superspin-isospin part of the composite leptons (see [6], (68), (69)). As the lepton states are constructed in a D-basis of parton spinors the latter matrix elements have to be calculated in this basis.…”

Section: Effective Canonical Equations Of Motionmentioning

confidence: 99%

“…In the canonical version of the theory these constraints need not to be postulated, but can be derived from (28) - (31) in combination with the spinor equation (25), compare for instance [13], section 8.2.…”

Section: Effective Canonical Equations Of Motionmentioning

confidence: 99%

“…In this way isospin symmetry breaking was treated in [13,18], for a vanishing magnetic vector potential. It is thus the task to generalize this to the case under consideration, i. e. to the Lagrangian density (42).…”

Section: Transition To Effective Physical Fieldsmentioning

confidence: 99%

“…In (8.51) in [13] the construction of F 1 is explained starting from the general explicite form (8.49) in [13]. As we are only interested in the algebraic evaluation of (71), we suppress the explicit representation of the coordinate parts h, h k for the sake of brevity.…”

Section: Theoremmentioning

confidence: 99%

See 4 more Smart Citations

Change of Electroweak Nuclear Reaction Rates by CP- and Isospin Symmetry Breaking – A Model Calculation

Stumpf

2006

Zeitschrift Für Naturforschung A

Self Cite

View full text Add to dashboard Cite

Based on the assumption that electroweak bosons, leptons and quarks possess a substructure of elementary fermionic constituents, in previous papers the effect of CP-symmetry breaking on the effective dynamics of these particles was calculated. Motivated by the phenomenological procedure in this paper, isospin symmetry breaking will be added and the physical consequences of these calculations will be discussed. The dynamical law of the fermionic constituents is given by a relativistically invariant nonlinear spinor field equation with local interaction, canonical quantization, selfregularization and probability interpretation. The corresponding effective dynamics is derived by algebraic weak mapping theorems. In contrast to the commonly applied modifications of the quark mass matrices, CP-symmetry breaking is introduced into this algebraic formalism by an inequivalent vacuum with respect to the CP-invariant case, represented by a modified spinor field propagator. This leads to an extension of the standard model as effective theory which contains besides the "electric" electroweak bosons additional "magnetic" electroweak bosons and corresponding interactions. If furthermore the isospin invariance of the propagator is broken too, it will be demonstrated in detail that in combination with CP-symmetry breaking this induces a considerable modification of electroweak nuclear reaction rates.

show abstract

Section: Effective Canonical Equations Of Motionmentioning

confidence: 99%

Section: Effective Canonical Equations Of Motionmentioning

confidence: 99%

Section: Effective Canonical Equations Of Motionmentioning

confidence: 99%

Section: Transition To Effective Physical Fieldsmentioning

confidence: 99%

Section: Theoremmentioning

confidence: 99%

See 3 more Smart Citations

Change of Electroweak Nuclear Reaction Rates by CP- and Isospin Symmetry Breaking – A Model Calculation

Stumpf

2006

Zeitschrift Für Naturforschung A

Self Cite

View full text Add to dashboard Cite

show abstract

Inflation and Late Time Acceleration Designed by Stueckelberg Massive Photon

2017

View full text Add to dashboard Cite

We present a mini review of the Stueckelberg mechanism, which was proposed to make the abelian gauge theories massive as an alternative to Higgs mechanism, within the framework of Minkowski as well as curved spacetimes. The higher the scale the tighter the bounds on the photon mass, which might be gained via the Stueckelberg mechanism, may be signalling that even an extremely small mass of the photon which cannot be measured directly could have far reaching effects in cosmology. We present a cosmological model where Stueckelberg fields, which consist of both scalar and vector fields, are non-minimally coupled to gravity and the universe could go through a decelerating expansion phase sandwiched by two different accelerated expansion phases. We discuss also the possible anisotropic extensions of the model. Introducing Stueckelberg mechanismThe observation of only left handed weak interactions implies the violation of parity symmetry in nature. Thus fermions as well as gauge bosons should have been massless to preserve gauge symmetry. This was of course in gross contradiction with the experiments demonstrating that the weakly interacting fermions and gauge bosons are massive, though the neutrinos first were assumed to be massless but later it was shown that they are also massive. Indeed gauge bosons mediating the weak interaction were naturally expected to be massive since weak force is a short range force. The clever solution to this issue was to introduce a Higgs field which transforms as a doublet under the weak SU(2) L symmetry so that W + , W − and Z 0 bosons as well as all the charged fermions would be massive [1]. Indeed, it has later been realised that neutrino is the lightest particle in the Standard Model (SM) with a mass smaller by at least three orders of magnitude than the electron mass. The 2015 Nobel Prize in Physics was given to the discovery of neutrino oscillations that shows neutrinos are massive. Therefore the SM should has been modified in order to give a natural explanation to the question why neutrino masses are so small but non-zero. A similar modification that makes neutrinos massive may be valid for photon. As dictated by Okun, "such a small photon mass, albeit gauge non-invariant, does not destroy the renormalizability of Quantum Electrodynamics (QED) [2,3] and its presence would not spoil the agreement between QED and experiment. This also motivates incessant searches for a non-vanishing tiny photon mass" [4,5]. Historically there have been proposals on photon being massive by renowned physicists such as Einstein [6,7], de Broglie [8][9][10][11][12], and Schrödinger [13]. The possibility of photon having an ultralight mass is present in de Broglie's doctoral thesis (1924) [14], which was preceded by the two published articles of him; he first time mentioned a massive photon in 1922 [8] and provided an estimate on its mass in 1923 [9]. However this idea is often ascribed to one of his doctorate students Proca who introduced the so-called Proca equation for a massive vector fie...

show abstract

Theory of the Leptonic Monopole

Lochak

2015

The Leptonic Magnetic Monopole Theory and Experiments

View full text Add to dashboard Cite

Nonperturbative Quantum Field Theory and the Structure of Matter

Cited by 20 publications

References 0 publications

Change of Electroweak Nuclear Reaction Rates by CP- and Isospin Symmetry Breaking – A Model Calculation

Change of Electroweak Nuclear Reaction Rates by CP- and Isospin Symmetry Breaking – A Model Calculation

Inflation and Late Time Acceleration Designed by Stueckelberg Massive Photon

Theory of the Leptonic Monopole

Contact Info

Product

Resources

About