Change of variables and equivalence theorems in quantum field theories

Kamefuchi, S.; O’Raifeartaigh, L.; Salam, Abdus

doi:10.1016/0029-5582(61)90056-6

Cited by 204 publications

(162 citation statements)

References 21 publications

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“…(2.6) tells us; this produces only the chiral variation of the external fermions in the operator 0. This chiral rotation cannot produce any physical effect as the equivalence theorem [13] tells us (we show it explicitly in the last part of this section), which means that the connected insertions are essentially zero for the physical process once the on-shell conditions are imposed on the external lines. Note that our argument here using the anomalous WT identity is applicable only to the firstorder effect of 0.…”

Section: Anomalous Wt Identitymentioning

confidence: 93%

“…In the N/ = 2 case at the tree level, while from (3.6), we obtain (d1,2,3=r182,3, d0=71), the equation of motion at the tree level [24] yields the' conserved U(1) current (PCU,C) relation [25] i [13]. Therefore we can conclude immediately that the CP violation in the physical quantities should vanish in the absence of anomaly ( a = 0 ) and/or in the chiral limit ( m $ =~) .…”

Section: Isd4x(n(p')l~[~(0)~(x)]ln ( P ) )mentioning

confidence: 99%

“…Another form of &, is obtained by defining f the chiral-invariant nucleon N = 2/ U 5 B:where g, = yrn:/f , . One should note that this change of variables does not alter the final result[13]. If one uses (3.12) (case I), we have a pseudoscalar (PS) nucleonmeson coupling and an additional contact photonmeson-baryon coupling.…”

mentioning

confidence: 99%

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StrongCPviolation and the neutron electric dipole moment reexamined

Aoki

Hatsuda

1992

Phys. Rev. D

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Emission from high-dipole moment molecules such as HCN allows determination of the density in molecular clouds, and is often considered to trace the "dense" gas available for star formation. We assess the importance of electron excitation in various environments. The ratio of the rate coefficients for electrons and H 2 molecules, 10 5 for HCN, yields the requirements for electron excitation to be of practical importance if n(H 2) ≤ 10 5.5 cm −3 and X(e −) ≥ 10 −5 , where the numerical factors reflect critical values n c (H 2) and X * (e −). This indicates that in regions where a large fraction of carbon is ionized, X(e −) will be large enough to make electron excitation significant. The situation is in general similar for other "high density tracers", including HCO + , CN, and CS. But there are significant differences in the critical electron fractional abundance, X * (e −), defined by the value required for equal effect from collisions with H 2 and e −. Electron excitation is, for example, unimportant for CO and C +. Electron excitation may be responsible for the surprisingly large spatial extent of the emission from dense gas tracers in some molecular clouds (Pety et al. 2017; Kauffmann, Goldsmith et al. 2017). The enhanced estimates for HCN abundances and HCN/CO and HCN/HCO + ratios observed in the nuclear regions of luminous galaxies may be in part a result of electron excitation of high dipole moment tracers. The importance of electron excitation will depend on detailed models of the chemistry, which may well be non-steady state and non-static.

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Section: Anomalous Wt Identitymentioning

confidence: 93%

Section: Isd4x(n(p')l~[~(0)~(x)]ln ( P ) )mentioning

confidence: 99%

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StrongCPviolation and the neutron electric dipole moment reexamined

Aoki

Hatsuda

1992

Phys. Rev. D

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“…The change of field variables of transformation (17) generates a (new) Lagrangian L( µ , g 1 , A + 2a + 4aA) that, as a consequence of the equivalence theorem [35], must yield the same observables as the original Lagrangian L( µ , g 1 , A).…”

Section: B Lagrangian Of the (1232) Resonancementioning

confidence: 99%

“…In fact, by use of suitable field redefinitions [35,51], in a first step any dependence on p 2 of the tree-level contribution to the self-energy can be removed, i.e., f (0) (x) = 0. Then, settinḡ h = 1, we obtain…”

Section: Pole Of the Propagatormentioning

confidence: 99%

Including theΔ(1232)resonance in baryon chiral perturbation theory

et al. 2005

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Baryon chiral perturbation theory with explicit (1232) degrees of freedom is considered. The most general interactions of pions, nucleons, and consistent with all underlying symmetries as well as with the constraint structure of higher-spin fields are constructed. By use of the extended on-mass-shell renormalization scheme, a manifestly Lorentz-invariant effective-field theory with a systematic power counting is obtained. As applications, we discuss the mass of the nucleon, the pion-nucleon σ term, and the pole of the propagator.

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Double Copy from Homotopy Algebras

Borsten

Kim

Jurčo

et al. 2021

Fortschritte der Physik

100

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We show that the BRST Lagrangian double copy construction of N=0 supergravity as the ‘square’ of Yang–Mills theory finds a natural interpretation in terms of homotopy algebras. We significantly expand on our previous work arguing the validity of the double copy at the loop level, and we give a detailed derivation of the double‐copied Lagrangian and BRST operator. Our constructions are very general and can be applied to a vast set of examples.

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Change of variables and equivalence theorems in quantum field theories

Cited by 204 publications

References 21 publications

StrongCPviolation and the neutron electric dipole moment reexamined

StrongCPviolation and the neutron electric dipole moment reexamined

Including theΔ(1232)resonance in baryon chiral perturbation theory

Double Copy from Homotopy Algebras

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