Vacuum Quantum Fluctuations in Curved Space and the Theory of Gravitation

The idea we advocate in this paper is that the one-loop effective action of a free (massive) field theory coupled to external sources (via conserved currents) contains complete information about the classical dynamics of such sources. We show many explicit examples of this fact for (scalar and fermion) free field theories in various dimensions d = 3, 4, 5, 6 coupled to (bosonic, completely symmetric) sources with a number of spins. In some cases we also provide compact formulas for any dimension. This paper is devoted to two-point correlators, so the one-loop effective action we construct contains only the quadratic terms and the relevant equations of motion for the sources we obtain are the linearized ones.

“…These results for spin-1 and -2 are known have been known for a long time, see for instance [26]. Now, we ask the same question for the 2pt correlator of the 3-current (section 3.3).…”

Section: Jhep12(2016)084mentioning

confidence: 67%

Section: Jhep12(2016)084mentioning

confidence: 99%

One-loop effective actions and higher spins

Bonora

Cvitan

Prester

et al. 2016

“…This result agrees with [87] (see [81,84,85,88] for results with different signs). The matter contributions had been computed in [89][90][91] leading to the concept of 'induced gravity' [92], which in our language corresponds to the RGE running of f 2 . Concerning the pure gravitational effect, agravity differs from gravity.…”

Section: Jhep06(2014)080mentioning

confidence: 99%

Agravity

Salvio

Струмиа

2014

308

439

Abstract:We explore the possibility that the fundamental theory of nature does not contain any scale. This implies a renormalizable quantum gravity theory where the graviton kinetic term has 4 derivatives, and can be reinterpreted as gravity minus an anti-graviton. We compute the super-Planckian RGE of adimensional gravity coupled to a generic matter sector. The Planck scale and a flat space can arise dynamically at quantum level provided that a quartic scalar coupling and its β function vanish at the Planck scale. This is how the Higgs boson behaves for M h ≈ 125 GeV and M t ≈ 171 GeV. Within agravity, inflation is a generic phenomenon: the slow-roll parameters are given by the β-functions of the theory, and are small if couplings are perturbative. The predictions n s ≈ 0.967 and r ≈ 0.13 arise if the inflaton is identified with the Higgs of gravity. Furthermore, quadratically divergent corrections to the Higgs mass vanish: a small weak scale is natural and can be generated by agravity quantum corrections.

“…Other topics, such as the discussion of the ambiguities inherent in the choice of the conserved currents in the initial matter model, will be included in a subsequent article. This is a good point to mention that our research is indebted to several preexisting works, in particular with [17][18][19] as far as the inspiration is concerned, with [20][21][22][23][24][25][26][27][28][29] as far as the methods are concerned and with [4,5,[30][31][32][33][34][35][36][37][38][39][40][41] for HS theories. Other papers of ours, related to the present one are, beside [1,42,43].…”

Section: Jhep01(2018)080mentioning

confidence: 99%

“…Then the connection between (2.8) and (2.15) is given by 17) which corresponds to a particular choice of the coefficients a l in (2.13). Of course we are interested not only in the relation (2.17), but in expressing all thẽ A (s) l (k, n 1 , n 2 ) in terms of theG (n) (k, n 1 , n 2 ).…”

Section: Geometrization In Terms Of Jacobi Tensorsmentioning

confidence: 99%

One-loop effective actions and higher spins. Part II

Bonora¹,

Cvitan²,

Prester³

et al. 2018

In this paper we continue and improve the analysis of the effective actions obtained by integrating out a scalar and a fermion field coupled to external symmetric sources, started in the previous paper. The first subject we study is the geometrization of the results obtained there, that is we express them in terms of covariant Jacobi tensors. The second subject concerns the treatment of tadpoles and seagull terms in order to implement off-shell covariance in the initial model. The last and by far largest part of the paper is a repository of results concerning all two point correlators (including mixed ones) of symmetric currents of any spin up to 5 and in any dimensions between 3 and 6. In the massless case we also provide formulas for any spin in any dimension.