Gauge invariance and the nonrelativistic Ward-Takahashi identity

Jl, Friar; Fallieros, S.

doi:10.1103/physrevc.46.2393

Cited by 5 publications

(3 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Our objective here is to study in detail the conditions under which the gauge-invariant description of elastic electron scattering can be achieved in other models for constituent interaction. In addition, we discuss a certain extension of the WT identity [87,88] for an arbitrary system of charged particles.…”

Section: Gauge Invariance and Gauge Independence In The Bethe-salpetementioning

confidence: 99%

Bethe—Salpeter approach with the separable interaction for the deuteron

Bondarenko¹,

Burov²,

Молочков³

et al. 2002

Progress in Particle and Nuclear Physics

View full text Add to dashboard Cite

Recent developments of the covariant Bethe-Salpeter (BS) approach with the use of the separable interaction for the deuteron are reviewed. It is shown that the BS formalism allows a covariant description of various electromagnetic reactions like the lepton-deuteron scattering, deuteron electro-disintegration, deep inelastic scattering (DIS) of leptons on light nuclei. The procedure of the construction of the separable nucleon-nucleon (N N ) interaction is discussed. The BS formalism facilitates analysis of the role of the P -waves (negative energy components) in the electromagnetic properties of the deuteron and its comparison with the nonrelativistic results. Furthermore the covariant BS approach makes it possible to analyze DIS of leptons from the deuteron in a model independent way and to extend the formalism to DIS reactions on the light nuclei. Appendix A 82 Appendix B 83 ′ ′ ′

show abstract

Section: Gauge Invariance and Gauge Independence In The Bethe-salpetementioning

confidence: 99%

Bethe—Salpeter approach with the separable interaction for the deuteron

Bondarenko¹,

Burov²,

Молочков³

et al. 2002

Progress in Particle and Nuclear Physics

View full text Add to dashboard Cite

show abstract

“…[1][2][3][4][5][6][7][8][9][10][11][12][13] In all quantum field theories, WIs are essential for the renormalization program: they lower the number of independent renormalization constants, serve in proofs of renormalizability, and provide control over the divergent terms in perturbation schemes. Takahashi showed 2 that WIs are at the root of any field theory, since they are related to symmetries and conservation laws, corresponding to the gauge invariance.…”

mentioning

confidence: 99%

Ward identity for nonequilibrium Fermi systems

2008

View full text Add to dashboard Cite

A nonequilibrium Ward identity ͑NE WI͒ connecting the scalar transport vertex correction with one-particle self-energy is derived using the global U͑1͒ symmetry of the fermion nonequilibrium Green's functions ͑NGF͒. The nonperturbative derivation does not depend on the details of the many-body system. A renormalized multiplicative composition rule for the NGF, reflecting time coherence, is obtained and related to the NE WI. Applications involve ͑i͒ testing the consistency of approximations shown in the example of a self-consistent Born approximation for disorder scattering, and ͑ii͒ in the general quantum transport theory, the formalism permits one to assess routes to generalized master equations, in particular those based on the generalized Kadanoff-Baym ansatz.

show abstract

“…eqs. (6,7,8), however modifying the charge density have been developed [4]. Consequently, these currents violate the nonrelativistic Ward-Takahashi identity.…”

mentioning

confidence: 99%

Local gauge invariance implies Siegert’s hypothesis

Naus

1997

Phys. Rev. C

View full text Add to dashboard Cite

The nonrelativistic Ward-Takahashi identity, a consequence of local gauge invariance in quantum mechanics, shows the necessity of exchange current contributions in case of nonlocal and/or isospin-dependent potentials. It also implies Siegert's hypothesis: in the nonrelativistic limit, twobody charge densities identically vanish. Neither current conservation, which follows from global gauge invariance, nor the constraints of (lowest order) relativity are sufficient to arrive at this result. Furthermore, a low-energy theorem for exchange contributions is established.PACS number(s): 23.20.-g; 25.20.-x

show abstract

Gauge invariance and the nonrelativistic Ward-Takahashi identity

Cited by 5 publications

References 8 publications

Bethe—Salpeter approach with the separable interaction for the deuteron

Bethe—Salpeter approach with the separable interaction for the deuteron

Ward identity for nonequilibrium Fermi systems

Local gauge invariance implies Siegert’s hypothesis

Contact Info

Product

Resources

About