RECORD
Universal Dynamics of Spontaneous Lorentz Violation and a New Spin-Dependent Inverse-Square Law Force
High Energy Physics - Phenomenology · Submitted 2 Jul 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The Goldstone also induces a long-range inverse-square law force between spin sources with a striking angular dependence, reflecting the underlying Goldstone shockwaves and providing a smoking gun for this theory.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We study the universal low-energy dynamics associated with the spontaneous breaking of Lorentz invariance down to spatial rotations. The effective Lagrangian for the associated Goldstone field can be uniquely determined by the non-linear realization of a broken time diffeomorphism symmetry, up to some overall mass scales. It has previously been shown that this symmetry breaking pattern gives rise to a Higgs phase of gravity, in which gravity is modified in the infrared. In this paper, we study the effects of direct couplings between the Goldstone boson and standard model fermions, which necessarily accompany Lorentz-violating terms in the theory. The leading interaction is the coupling to the axial vector current, which reduces to spin in the non-relativistic limit. A spin moving relative to the "ether" rest frame will emit Goldstone Cerenkov radiation. The Goldstone also induces a long-range inverse-square law force between spin sources with a striking angular dependence, reflecting the underlying Goldstone shockwaves and providing a smoking gun for this theory. We discuss the regime of validity of the effective theory describing these phenomena, and the possibility of probing Lorentz violations through Goldstone boson signals in a way that is complementary to direct tests in some regions of parameter space.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the universal low-energy dynamics associated with the spontaneous breaking of Lorentz invariance down to spatial rotations. | contribution 0.85 | 0.81 | 0.05 | asserted 0.71 |
| s1 | The effective Lagrangian for the associated Goldstone field can be uniquely determined by the non-linear realization of a broken time diffeomorphism symmetry, up to some overall mass scales. | background 0.78 | 0.45 | 0.05 | asserted 0.99 |
| s2 | It has previously been shown that this symmetry breaking pattern gives rise to a Higgs phase of gravity, in which gravity is modified in the infrared. | background 1.00 | 0.04 | 0.04 | asserted 1.00 |
| s3 | In this paper, we study the effects of direct couplings between the Goldstone boson and standard model fermions, which necessarily accompany Lorentz-violating terms in the theory. | contribution 0.99 | 0.42 | 0.06 | asserted 0.98 |
| s4 | The leading interaction is the coupling to the axial vector current, which reduces to spin in the non-relativistic limit. | result 0.64 | 0.55 | 0.06 | asserted 1.00 |
| s5 | A spin moving relative to the "ether" rest frame will emit Goldstone Cerenkov radiation. | result 0.98 | 0.58 | 0.08 | asserted 1.00 |
| s6 | The Goldstone also induces a long-range inverse-square law force between spin sources with a striking angular dependence, reflecting the underlying Goldstone shockwaves and providing a smoking gun for this theory. | result 0.97 | 0.77 | 0.62 | asserted 1.00 |
| s7 | We discuss the regime of validity of the effective theory describing these phenomena, and the possibility of probing Lorentz violations through Goldstone boson signals in a way that is complementary to direct tests in some regions of parameter space. | future work 0.39 | 0.59 | 0.11 | hedged possibility 0.88 |
What was examined, and what was not
- arXiv listing abstract v3
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We study the universal low-energy dynamics associated with the spontaneous breaking of Lorentz invariance down to spatial rotations. The effective Lagrangian for the associated Goldstone field can be uniquely determined by the non-linear realization of a broken time diffeomorphism symmetry, up to some overall mass scales. It has previously been shown that this symmetry breaking pattern gives rise to a Higgs phase of gravity, in which gravity is modified in the infrared. In this paper, we study the effects of direct couplings between the Goldstone boson and standard model fermions, which necessarily accompany Lorentz-violating terms in the theory. The leading interaction is the coupling to the axial vector current, which reduces to spin in the non-relativistic limit. A spin moving relative to the "ether" rest frame will emit Goldstone Cerenkov radiation. The Goldstone also induces a long-range inverse-square law force between spin sources with a striking angular dependence, reflecting the underlying Goldstone shockwaves and providing a smoking gun for this theory. We discuss the regime of validity of the effective theory describing these phenomena, and the possibility of probing Lorentz violations through Goldstone boson signals in a way that is complementary to direct tests in some regions of parameter space.
Human review
References
How the literature uses it
12 arXiv papers cite this in 15 sentences
Papers citing it · 9 sentences without a confident label
Builds on it 1 paper
-
Our discussion generalizes the possible couplings described in, e.g., [ref] .[See [ref] for a discussion of couplings of the ghost condensate.] We will consider the coupling directly to the atomic degrees of freedom.
Massive graviton dark matter searches with long-baseline atom interferometers · Non-relativistic coupling to the Standard Model · 0.92
Cites it as background 5 papers
-
Such models have been of vast interest both in a nongravitational context [ref] and in the presence of gravity [ref] .
Hamiltonian formulation for scalar model of spontaneous spacetime symmetry violation in gravity · Introduction · 0.93
-
The vacuum expectation value (vev) of $^2$ is proportional to $Ḣ$ and parameterizes the breaking of time-translation invariance; since no UV completion of spontaneous time translation breaking is known, $⟨⟩= θσ^0$ must be imposed by hand.[Other theories of spontaneous time translation breaking include the (gauged) ghost condensate [ref] (see also [ref] for extensions to supersymmetry and SUGRA) and time crystals [ref] (see also [ref] ).
The goldstone and goldstino of supersymmetric inflation · Introduction · 0.93
-
Lorentz-violating effective theories have been studied extensively both in the context of modified gravity, see, e.g., [ref] , and in parameterizing deviations from Lorentz invariance in the Standard Model, see, e.g., [ref] .
A Material Frame: Hard Recoils from Slow Force Carriers · Introduction · 1.00
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.