Reduced Dirac equation and Lamb shift as off-mass-shell effect in quantum electrodynamics

Ni, Guang‐jiong; Xu, Jianjun; Sen-Yue, Lou

doi:10.1088/1674-1056/20/2/020302

Cited by 7 publications

(5 citation statements)

References 35 publications

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“…To our understanding, such a mass creation mechanism is only possible in a nonperturbative QFT (non p-QFT) treatment (with loop number L → ∞) like NJLVS or NJLT in NJL model here. A similar model was also proposed by Gross and Neveu in 1974 [43].…”

Section: Summary and Discussionmentioning

confidence: 59%

“…Now everything is finite and fixed in all finite-loop calculations of QED as shown in Refs. [42,43]. Because the coupling constant α in QED is a dimensionless number, the perturbative calculation of "radiative corrections" cannot modify the rest mass m of an electron even a bit essentially, but renders the α a "running coupling constant" as a function of momentum transfer in the colliding of electrons.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…[ * ] As a metaphor, one has to reconfirm his plane ticket before his departure from the airport. he must use the same name throughout his entire journey [42,43].…”

Section: Summary and Discussionmentioning

confidence: 99%

See 2 more Smart Citations

Nambu--Jona-Lasinio Model Revisited with a Simple Regularization-Renormalization Method

Ni¹,

Xu²,

Sen-Yue³

et al. 2015

Preprint

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According to the pioneering model proposed by Nambu and Jona-Lasinio (NJL)[2, 3], a massless fermion acquires its mass via a vacuum phase transition (VPT) process. Our discussion is considerably simplified because an effective Hamiltonian for VPT is proposed and a simple regularization-renormalization method (RRM) is adopted. An unambiguous constraint is found as3 , where G is the coupling constant first introduced in the NJL model while ∆ 1 the mass of fermion (f ) created after the VPT. The masses of bosons with spin-parity J P = 0 + , 0 − , 1 + and 1 − as collective modes composed of fermion-antifermion pairs (f f s) are also calculated by the method of random phase approximation (RPA).

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Section: Summary and Discussionmentioning

confidence: 59%

Section: Summary and Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Nambu--Jona-Lasinio Model Revisited with a Simple Regularization-Renormalization Method

Ni¹,

Xu²,

Sen-Yue³

et al. 2015

Preprint

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“…(2.18) can be found at a page note of a paper by Konopinski and Mahmaud in 1953 [17], also appears in Refs. [14,[18][19][20][21][22][23].…”

Section: )mentioning

confidence: 99%

Discrete Symmetry in Relativistic Quantum Mechanics

Ni¹,

Chen²,

Xu³

2013

JMP

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EPR experiment on system in 1998 [1] strongly hints that one should use operators and for the wavefunction (WF) of antiparticle. Further analysis on Klein-Gordon (KG) equation reveals that there is a discrete symmetry hiding in relativistic quantum mechanics (RQM) that PT=C. Here PT means the (newly defined) combined space-time inversion (with x→-x,t→-t), while C the transformation of WF Ψ between particle and its antiparticle whose definition is just residing in the above symmetry. After combining with Feshbach-Villars (FV) dissociation of KG equation (Ψ=φ+x) [2], this discrete symmetry can be rigorously reformulated by the invariance of coupling equation of φ and x under either the combined space-time inversion PT or the mass inversion (m→-m), which makes the KG equation a self-consistent theory. Dirac equation is also discussed accordingly. Various applications of this discrete symmetry are discussed, including the prediction of antigravity between matter and antimatter as well as the reason why we believe neutrinos are likely the tachyons.

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“…(2.18) can be found at a page note of a paper by Konopinski and Mahmaud in 1953 [9], also appears in Refs. [6,[10][11][12][13]. [ * ]…”

Section: What the K 0 K0 Correlation Experimental Data Are Telling?mentioning

confidence: 99%

Evolution of the CPT Invariance into a Basic Postulate in Physics

Ni¹,

Xu²,

Chen³

2012

Preprint

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The CP T invariance has been firmly established via experimental tests. Its theoretical implication and derivation at two levels of both relativistic quantum mechanics (RQM ) and quantum field theory (QF T ) are discussed. Being a basic symmetry, the CP T invariance can be expressed as PT = C, where PT represent the "strong reflection", i.e., the (newly defined) space-time inversion (x → −x, t → −t), invented by Lüders and Pauli in the proof of the CP T theorem and C the new particleantiparticle transformation proposed by Lee and Wu. Actually, the renamed CP T invariance, PT = C, could be viewed as a basic postulate being injected implicitly into the theory since the nonrelativistic quantum mechanics (N RQM ) was combined with the theory of special relativity (SR) to become RQM and then the QF T . The Klein-Gordon (KG) equation is highlighted to become a self-consistent theory in RQM , based on two sets of wavefunctions (W F s) and momentum-energy operators for particle and antiparticle respectively, together with the above postulate. Hence the Klein paradox for both KG equation and Dirac equation can be solved without resorting to the "hole theory".

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Reduced Dirac equation and Lamb shift as off-mass-shell effect in quantum electrodynamics

Cited by 7 publications

References 35 publications

Nambu--Jona-Lasinio Model Revisited with a Simple Regularization-Renormalization Method

Nambu--Jona-Lasinio Model Revisited with a Simple Regularization-Renormalization Method

Discrete Symmetry in Relativistic Quantum Mechanics

Evolution of the CPT Invariance into a Basic Postulate in Physics

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