Higher order corrections to the hydrogen spectrum from the standard-model extension

Yoder, Theodore J.; Adkins, Gregory S.

doi:10.1103/physrevd.86.116005

Cited by 36 publications

(41 citation statements)

References 47 publications

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“…Also, only contributions from coefficients with k ≥ 2 occur, a result consistent with previous conclusions that minimal coefficients have no effect on the 1S-2S transition at leading order in Lorentz and CPT violation [13,29]. We remark in passing that contributions to the 1S-2S transition are known to appear when higher-order corrections in minimal coefficients are included [17,29].…”

Section: Frequency Shiftsupporting

confidence: 74%

“…[37]. The minimal-SME spin-independent coefficients V vanish at leading order in the nonrelativistic limit and so have no effect on the 1S-2S frequency, in parallel with the hydrogen case [13,29].…”

Section: B 1s-2s Transitionmentioning

confidence: 82%

“…Only leading-order contributions from each coefficient are included. Note that all the spinindependent minimal coefficients leave unaffected the 1S-2S frequency at leading order in the nonrelativistic limit [13,29], so both V in the minimal SME to parts in 10 11 [18]. We can reinterpret the results in terms of the nonrelativistic coefficients and thereby extract first measurements of a variety of nonminimal coefficients.…”

Section: T Kkllj Effmentioning

confidence: 99%

“…Related experiments with antihydrogen are being developed [19][20][21][22], and experiments with hydrogen molecules and molecular ions have been proposed as well [23]. In the context of the minimal SME, theoretical modifications to the spectra of hydrogen and antihydrogen have been widely studied [13,[24][25][26][27][28][29][30][31], while spectral shifts are also known to arise from specialized nonminimal SME interactions with d = 5 [32] and from d = 6 terms originating in noncommutative quantum field theory [33,34]. The minimal SME also introduces CPT-violating effects in positronium decay [35,36].…”

Section: Introductionmentioning

confidence: 99%

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Lorentz andCPTtests with hydrogen, antihydrogen, and related systems

2015

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The potential of precision spectroscopy as a tool in systematic searches for effects of Lorentz and CPT violation is investigated. Systems considered include hydrogen, antihydrogen, deuterium, positronium, and hydrogen molecules and molecular ions. Perturbative shifts in energy levels and key transition frequencies are derived, allowing for Lorentz-violating operators of arbitrary mass dimensions. Observable effects are deduced from various direct measurements, sidereal and annual variations, comparisons among species, and gravitational responses. We use existing data to place new and improved constraints on nonrelativistic coefficients for Lorentz and CPT violation, and we provide estimates for the future attainable reach in direct spectroscopy of the various systems or tests with hydrogen and deuterium masers. The results reveal prospective sensitivities to many coefficients unmeasured to date, along with potential improvements of a billionfold or more over certain existing results.

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Section: Frequency Shiftsupporting

confidence: 74%

Section: B 1s-2s Transitionmentioning

confidence: 82%

Section: T Kkllj Effmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Lorentz andCPTtests with hydrogen, antihydrogen, and related systems

2015

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“…The Lorentz-violating (LV) terms, generated as vacuum expectation values of tensors defined in a high energy scale, are coupled to the physical fields yielding coordinate invariance and violation of Lorentz symmetry in the particle frames [11]. This theoretical framework has inspired a large number of investigations in the last several years, encompassing fermion systems [12][13][14][15][16][17][18][19][20], CPT-probing experiments [21][22][23][24][25][26][27], the electromagnetic CPT-and Lorentzodd term [28]- [41], the CPT-even and Lorentz-odd gauge sector and its interactions with fermions [42][43][44][45][46][47][48][49][50][51], [52][53][54][55][56][57]. Recent investigations involving higher dimensional operators [58][59][60], its possible connections with LV theories [61][62][63][64][65][66], and nonminimal couplings …”

Section: Introductionmentioning

confidence: 99%

Einstein-Hilbert graviton modes modified by the Lorentz-violating bumblebee field

et al. 2014

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In this work, we investigate the consequences of the spontaneous breaking of Lorentz symmetry, triggered by the bumblebee vector field, on the usual Einstein-Hilbert theory. Specifically, we consider the Einstein-Hilbert action modified by the bumblebee dynamic field, and evaluate the graviton propagator using an extended basis of Barnes-Rivers tensor projectors, involving the Lorentz-violating vector. Once the propagator is carried out, we proceed with discussing the consistency of the model, writing the dispersion relations, and analyzing causality and unitarity.We verify that this model possesses two dispersion relations: one provides causal and unitary propagating modes, while the second yields a causal but nonunitary mode which spoils the physical consistency of the model.

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Antihydrogen and Fundamental Physics

Charlton¹,

Eriksson²,

Shore³

2020

SpringerBriefs in Physics

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The recent advent of high precision antihydrogen (H) spectroscopy opens the way to stringent experimental tests of the fundamental principles underlying particle physics and general relativity (GR), such as Lorentz and CPT invariance and the Einstein Equivalence Principle (EEP), on pure antimatter systems. In this paper, the nature and implications of these tests is investigated, with special reference to the ALPHA antihydrogen programme at CERN. This is underpinned by a theoretical review of the role of antiparticles, causality and fundamental symmetries in relativistic quantum field theory (QFT) and the theory of time measurement in GR. Low-energy effective theories which break Lorentz and CPT symmetry, or the Strong Equivalence Principle (SEP), are then introduced, together with a review of several 'fifth force' scenarios involving new long-range forces which would effectively violate the universality of free-fall, or Weak Equivalence Principle (WEPff). The possible role of CPT violation in determining the matter-antimatter asymmetry of the Universe is discussed. Explicit calculations are given for the dependence on possible Lorentz and CPT violating couplings of the transition frequencies amongst the 1S, 2S and 2P hyperfine states measured in the magnetic field of the ALPHA trap and the resulting bounds are compared with existing limits. An analysis of the implications for the EEP of current free-fall and spectroscopic measurements with antihydrogen is presented and existing and potential bounds on WEPff and the universality of clocks (WEPc) are derived, together with constraints on fifth forces. Future prospects for high-precision antihydrogen spectroscopy, free-fall and gravitational redshift experiments, and antiatom matter-wave interferometry are described and experimental possibilities involving other antimatter species are briefly outlined.

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Higher order corrections to the hydrogen spectrum from the standard-model extension

Cited by 36 publications

References 47 publications

Lorentz andCPTtests with hydrogen, antihydrogen, and related systems

Lorentz andCPTtests with hydrogen, antihydrogen, and related systems

Einstein-Hilbert graviton modes modified by the Lorentz-violating bumblebee field

Antihydrogen and Fundamental Physics

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