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Standard Model Anomalies in Curved Space-Time with Torsion
High Energy Physics - Phenomenology · Submitted 5 Sep 1995
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find new contributions coming from curvature and torsion terms to the leptonic number anomaly (so that $B-L$ is not conserved any more), to the $U(1)_Y$ gauge and to the mixed $U(1)_Y$-gravitational anomalies, but the gauge anomaly cancellation conditions on the hypercharges remain the same.
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The abstract, sentence by sentence
Using the Fujikawa and the heat-kernel methods we make a complete and detailed computation of the global, gauge and gravitational anomalies present in the Standard Model defined on a curved space time with torsion. We find new contributions coming from curvature and torsion terms to the leptonic number anomaly (so that $B-L$ is not conserved any more), to the $U(1)_Y$ gauge and to the mixed $U(1)_Y$-gravitational anomalies, but the gauge anomaly cancellation conditions on the hypercharges remain the same. We also find that the condition, usually related to the cancellation of the mixed $U(1)_Y$-gravitational anomaly, can be reobtained in the context of the Standard Model in flat space-time by requiring the cancellation of the global Lorentz anomaly without any reference to gravitation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Using the Fujikawa and the heat-kernel methods we make a complete and detailed computation of the global, gauge and gravitational anomalies present in the Standard Model defined on a curved space time with torsion. | contribution 0.60 | 0.96 | 0.09 | asserted 1.00 |
| s1 | We find new contributions coming from curvature and torsion terms to the leptonic number anomaly (so that $B-L$ is not conserved any more), to the $U(1)_Y$ gauge and to the mixed $U(1)_Y$-gravitational anomalies, but the gauge anomaly cancellation conditions on the hypercharges remain the same. | result 1.00 | 0.97 | 0.69 | asserted 1.00 |
| s2 | We also find that the condition, usually related to the cancellation of the mixed $U(1)_Y$-gravitational anomaly, can be reobtained in the context of the Standard Model in flat space-time by requiring the cancellation of the global Lorentz anomaly without any reference to gravitation. | result 0.93 | 0.91 | 0.17 | asserted 1.00 |
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The paper
Original abstract
Using the Fujikawa and the heat-kernel methods we make a complete and detailed computation of the global, gauge and gravitational anomalies present in the Standard Model defined on a curved space time with torsion. We find new contributions coming from curvature and torsion terms to the leptonic number anomaly (so that $B-L$ is not conserved any more), to the $U(1)_Y$ gauge and to the mixed $U(1)_Y$-gravitational anomalies, but the gauge anomaly cancellation conditions on the hypercharges remain the same. We also find that the condition, usually related to the cancellation of the mixed $U(1)_Y$-gravitational anomaly, can be reobtained in the context of the Standard Model in flat space-time by requiring the cancellation of the global Lorentz anomaly without any reference to gravitation.
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How the literature uses it
2 arXiv papers cite this in 3 sentences
Papers whose main result relates to this one's
States a conflicting result 1 paper
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Therefore we argue that torsion does not contribute to anomalous lepton number production
Papers citing it · 1 sentence without a confident label
Builds on it 1 paper
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If there are $N n_g$ right-handed neutrinos present, then (generalizing the results of [ref] ) [equation] where $S$ describes the torsion of the spacetime, and $R$ is the usual Ricci scalar.
Leptogenesis Via Neutrino Production During Higgs Condensate Relaxation · The Origin of the $𝒪_6$ Operator · 1.00
Cites it as background 1 paper
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There has been a long debate with conflicting results on the contribution of torsion to chiral anomaly via the Nieh-Yan term [ref] .
On Torsion Contribution to Chiral Anomaly via Nieh-Yan Term · Introduction · 0.99
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