The S-matrix and graviton self-energy in quantum Yang-Mills gravity

Hsu, Jong-Ping; Kim, Sung Hoon

doi:10.1140/epjp/i2012-12146-3

Cited by 4 publications

(7 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To obtain from the graviton self-energy the relevant one-loop corrections to our invariant observable, we have to attach a free graviton propagator connecting the loop with the observation point x at which the observable is evaluated, and another graviton propagator connecting it with the point particle's stress tensor, as depicted in figure 1. Since the computation of the graviton self-energy Σ µνρσ (p) is standard, we will not give any details here, and merely note that we agree with the results of [71,72] after correcting for the different conventions and some typos as noted in [73]. Attaching the graviton propagators and point particle stress tensor (2.28) then results in the expression…”

Section: Graviton and Ghost Loop Correctionsmentioning

confidence: 52%

“…The computation of the one-loop corrections due to gravitons and diffeomorphism ghosts is straightforward, and parts of the computation (namely the graviton self-energy) have been performed numerous times before, see for example [71][72][73]. To obtain from the graviton self-energy the relevant one-loop corrections to our invariant observable, we have to attach a free graviton propagator connecting the loop with the observation point x at which the observable is evaluated, and another graviton propagator connecting it with the point particle's stress tensor, as depicted in figure 1.…”

Section: Graviton and Ghost Loop Correctionsmentioning

confidence: 99%

See 1 more Smart Citation

Graviton corrections to the Newtonian potential using invariant observables

Fröb

Rein

Verch

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider the effective theory of perturbative quantum gravity coupled to a point particle, quantizing fluctuations of both the gravitational field and the particle’s position around flat space. Using a recent relational approach to construct gauge-invariant observables, we compute one-loop graviton corrections to the invariant metric perturbation, whose time-time component gives the Newtonian gravitational potential. The resulting quantum correction consists of two parts: the first stems from graviton loops and agrees with the correction derived by other methods, while the second one is sourced by the quantum fluctuations of the particle’s position and energy-momentum, and may be viewed as an analog of a “Zitterbewegung”. As a check on the computation, we also recover classical corrections which agree with the perturbative expansion of the Schwarzschild metric.

show abstract

Section: Graviton and Ghost Loop Correctionsmentioning

confidence: 52%

Section: Graviton and Ghost Loop Correctionsmentioning

confidence: 99%

Graviton corrections to the Newtonian potential using invariant observables

Fröb

Rein

Verch

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…The field equations of the taiji gauge field B μ and the quark q(x), which carries baryon number (or baryon charge g b ), can be derived from (16). We have…”

Section: Cosmic Baryon-lepton Dynamics With a New Gauge Symmetry And ...mentioning

confidence: 99%

A unified model with a generalized gauge symmetry and its cosmological implications

Hsu

Cottrell

2015

Chinese Phys. C

Self Cite

View full text Add to dashboard Cite

A unified model is based on a generalized gauge symmetry with groups [SU3c] color ×(SU2×U1)×[U 1b ×U 1l ].It implies that all interactions should preserve conservation laws of baryon number, lepton number, and electric charge, etc. The baryonic U 1b , leptonic U 1l and color SU3c gauge transformations are generalized to involve nonintegrable phase factors. One has gauge invariant fourth-order equations for massless gauge fields, which leads to linear potentials in the [U 1b ×U 1l ] and color [SU3c] sectors. We discuss possible cosmological implications of the new baryonic gauge field. It can produce a very small constant repulsive force between two baryon galaxies (or between two anti-baryon galaxies), where the baryon force can overcome the gravitational force at very large distances and leads to an accelerated cosmic expansion. Based on conservation laws in the unified model, we discuss a simple rotating dumbbell universe with equal amounts of matter and anti-matter, which may be pictured as two gigantic rotating clusters of galaxies. Within the gigantic baryonic cluster, a galaxy will have an approximately linearly accelerated expansion due to the effective force of constant density of all baryonic matter. The same expansion happens in the gigantic anti-baryonic cluster. Physical implications of the generalized gauge symmetry on charmonium confining potentials due to new SU3c field equations, frequency shift of distant supernovae Ia and their experimental tests are discussed.

show abstract

“…1. Since the computation of the graviton selfenergy Σ µνρσ (p) is standard, we will not give any details here, and merely note that we agree with the results of [70,71] after correcting for the different conventions and some typos as noted in [72]. The renormalisation of the graviton self-energy proceeds also in a standard way by minimal subtraction, and we refrain from displaying the well-known necessary counterterms quadratic in the curvature tensors.…”

Section: Graviton and Ghost Loop Correctionsmentioning

confidence: 58%

“…The computation of the one-loop corrections due to gravitons and diffeomorphism ghosts is straightforward, and parts of the computation (namely the graviton self-energy) have been performed numerous times before, see for example [70][71][72]. To obtain from the graviton self-energy the relevant one-loop corrections to our invariant observable, we have to attach a free graviton propagator connecting the loop with the observation point x at which the observable is evaluated, and another graviton propagator connecting it with the point particle's stress tensor, as depicted in Fig.…”

Section: Graviton and Ghost Loop Correctionsmentioning

confidence: 99%

Graviton corrections to the Newtonian potential using invariant observables

Fröb,

Rein,

Verch

2021

Preprint

View full text Add to dashboard Cite

We consider the effective theory of perturbative quantum gravity coupled to a point particle, quantizing fluctuations of both the gravitational field and the particle's position around flat space. Using a recent relational approach to construct gauge-invariant observables, we compute one-loop graviton corrections to the invariant metric perturbation, whose time-time component gives the Newtonian gravitational potential. The resulting quantum correction consists of two parts: the first stems from graviton loops and agrees with the correction derived by other methods, while the second one is sourced by the quantum fluctuations of the particle's position and energy-momentum, and may be viewed as an analog of a "Zitterbewegung". As a check on the computation, we also recover classical corrections which agree with the perturbative expansion of the Schwarzschild metric.

show abstract

The S-matrix and graviton self-energy in quantum Yang-Mills gravity

Cited by 4 publications

References 32 publications

Graviton corrections to the Newtonian potential using invariant observables

Graviton corrections to the Newtonian potential using invariant observables

A unified model with a generalized gauge symmetry and its cosmological implications

Graviton corrections to the Newtonian potential using invariant observables

Contact Info

Product

Resources

About