On the energy-momentum tensor in gauge field theories

Freedman, Daniel Z.; Muzinich, I. J.; Weinberg, Erick J.

doi:10.1016/0003-4916(74)90448-5

Cited by 146 publications

(120 citation statements)

References 20 publications

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“…The work is a natural extension and an application of remarkable classical studies [8,9,10,11] of the energy momentum tensor and of the corresponding trace anomaly in gauge theories.…”

Section: Introductionmentioning

confidence: 98%

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Gravity and the neutral currents: Effective interactions from the trace anomaly

2011

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We present a complete study of the one graviton-two neutral gauge bosons vertex at 1-loop level in the electroweak theory. This vertex provides the leading contribution to the interaction between the Standard Model and gravity, mediated by the trace anomaly, at first order in the inverse Planck mass and at second order in the electroweak expansion. At the same time, these corrections are significant for precision studies of models with low scale gravity at the LHC. We show, in analogy with previous results in the QED and QCD cases, that the anomalous interaction between gravity and the gauge current of the Standard Model, due to the trace anomaly, is mediated, in each gauge invariant sector, by effective massless scalar degrees of freedom. We derive the Ward and Slavnov-Taylor identities characterizing the vertex. Our analysis includes the contributions from the improvements of the scalar sector, induced by a conformally coupled Higgs sector in curved space.

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“…The work is a natural extension and an application of remarkable classical studies [8,9,10,11] of the energy momentum tensor and of the corresponding trace anomaly in gauge theories.…”

Section: Introductionmentioning

confidence: 98%

“…If we allow only conformally coupled scalars and operators only up to dimension-4 in the Langrangian [8] [9], the EMT is uniquely defined by gravity and takes the form of a symmetric and (on-shell) conserved expression. In the massless limit, which in our case is equivalent to dealing with an unbroken theory (i.e.…”

Section: Introductionmentioning

confidence: 99%

Gravity and the neutral currents: Effective interactions from the trace anomaly

2011

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“…As mentioned above, it is mandatory to choose the value χ = 1/6 for any insertion of the EMT on the correlators of the Standard Model. These are found to be ultraviolet finite only if T µν I is included [16][17][18]. We will be dealing with the T ff vertex, where T denotes the EMT and f ≡ ν f a neutrino of flavour f , and work in the limit of zero mass of the neutrinos.…”

Section: Gravitational Interaction Of Neutrinosmentioning

confidence: 99%

“…Following figure 10, we recall that the VE lens equation is based on the geometrical relation [29,30] P S = P I − SI, (6.17) which gives 18) under the assumption that the point R in figure 10 lies on the vertical plane of the lens. θ I is the angle at which the image is viewed by the observer and β is the unlensed angular position of the source.…”

Section: Nonlinear Effects In Strong Deflectionsmentioning

confidence: 99%

Neutrino and photon lensing by black holes: radiative lens equations and post-Newtonian contributions

Corianò

Costantini

Dell’Atti

et al. 2015

J. High Energ. Phys.

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We extend a previous phenomenological analysis of photon lensing in an external gravitational background to the case of a massless neutrino, and propose a method to incorporate radiative effects in the classical lens equations of neutrinos and photons. The study is performed for a Schwarzschild metric, generated by a point-like source, and expanded in the Newtonian potential at first order. We use a semiclassical approach, where the perturbative corrections to neutrino scattering, evaluated at one-loop in the Standard Model, are compared with the Einstein formula for the deflection using an impact parameter formulation. For this purpose, we use the renormalized expression of the graviton/fermion/fermion vertex presented in previous studies. We show the agreement between the classical and the semiclassical formulations, for values of the impact parameter b h of the neutrinos of the order of b h ∼ 20, measured in units of the Schwarzschild radius. The analysis is then extended with the inclusion of the post Newtonian corrections in the external gravity field, showing that this extension finds application in the case of the scattering of a neutrino/photon off a primordial black hole. The energy dependence of the deflection, generated by the quantum corrections, is then combined with the standard formulation of the classical lens equations. We illustrate our approach by detailed numerical studies, using as a reference both the thin lens and the Virbhadra-Ellis lens.

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“…8 The additive renormalization of U can be understood as follows. Writing the unimproved SUSY current as j = (j + ∆j) − ∆j ≡ j improved − ∆j, with ∆j given by (7) and c = −2/3 therein, it is the superconformal current [27] j improved which is protected from renormalization [39], but the multiplet of improvement terms associated to ∆j is not (compare with the renormalization of an unimproved energy-momentum tensor [40,41,42,43,44]). In the presence of monopoles, the relevant SUSY current is the unimproved one, hence the appearance of infinite renormalizations.…”

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confidence: 99%

BPS saturation of the N=4 monopole by infinite composite-operator renormalization

Rebhan¹,

Schöfbeck²,

Nieuwenhuizen³

et al. 2006

Physics Letters B

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Quantum corrections to the magnetic central charge of the monopole in N = 4 supersymmetric Yang-Mills theory are free from the anomalous contributions that are crucial for BPS saturation of the two-dimensional supersymmetric kink and the N = 2 monopole. However these quantum corrections are nontrivial and they require infinite renormalization of the supersymmetry current, central charges, and energy-momentum tensor, in contrast to N = 2 and even though the N = 4 theory is finite. Their composite-operator renormalization leads to counterterms which form a multiplet of improvement terms. Using on-shell renormalization conditions the quantum corrections to the mass and the central charge then vanish both, thus verifying quantum BPS saturation. a rebhana@hep.itp.tuwien.ac.at

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On the energy-momentum tensor in gauge field theories

Cited by 146 publications

References 20 publications

Gravity and the neutral currents: Effective interactions from the trace anomaly

Gravity and the neutral currents: Effective interactions from the trace anomaly

Neutrino and photon lensing by black holes: radiative lens equations and post-Newtonian contributions

BPS saturation of the N=4 monopole by infinite composite-operator renormalization

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