One-loop effective potential in the nonlocal supersymmetric gauge theory

Gama, F. S.; Nascimento, J. R.; Petrov, A. Yu.; Porfírio, P. J.

doi:10.1103/physrevd.96.105009

Cited by 11 publications

(10 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Although the calculations in higher derivative theories are rather complicated, some of them have been done in the last decades. For instance, a number of calculations of the one-loop effective potential for N = 1 higher derivative supersymmetric theories were made in [42][43][44][45][46][47][48]. In theories regularized by higher derivatives quantum corrections are obtained in a similar way.…”

Section: Introductionmentioning

confidence: 99%

The all-loop perturbative derivation of the NSVZ $$\beta $$-function and the NSVZ scheme in the non-Abelian case by summing singular contributions

Stepanyantz

2020

Eur. Phys. J. C

View full text Add to dashboard Cite

The perturbative all-loop derivation of the NSVZ $$\beta $$ β -function for $${{\mathcal {N}}}=1$$ N = 1 supersymmetric gauge theories regularized by higher covariant derivatives is finalized by calculating the sum of singularities produced by quantum superfields. These singularities originate from integrals of double total derivatives and determine all contributions to the $$\beta $$ β -function starting from the two-loop approximation. Their sum is expressed in terms of the anomalous dimensions of the quantum gauge superfield, of the Faddeev–Popov ghosts, and of the matter superfields. This allows obtaining the NSVZ equation in the form of a relation between the $$\beta $$ β -function and these anomalous dimensions for the renormalization group functions defined in terms of the bare couplings. It holds for an arbitrary renormalization prescription supplementing the higher covariant derivative regularization. For the renormalization group functions defined in terms of the renormalized couplings we prove that in all loops one of the NSVZ schemes is given by the HD + MSL prescription.

show abstract

Section: Introductionmentioning

confidence: 99%

The all-loop perturbative derivation of the NSVZ $$\beta $$-function and the NSVZ scheme in the non-Abelian case by summing singular contributions

Stepanyantz

2020

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…For further considerations on quantum and formal classical aspects in nonlocal field theories see, e.g. [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42] and references therein. question of whether there is a fundamental relation between them [43,44,53].…”

Section: Introductionmentioning

confidence: 99%

Weak-field limit and regular solutions in polynomial higher-derivative gravities

Giacchini

Netto

2019

Eur. Phys. J. C

View full text Add to dashboard Cite

In the present work we show that, in the linear regime, gravity theories with more than four derivatives can have remarkable regularity properties if compared to their fourth-order counterpart. To this end, we derive the expressions for the metric potentials associated to a pointlike mass in a general higher-order gravity model in the Newtonian limit. It is shown that any polynomial model with at least six derivatives in both spin-2 and spin-0 sectors has regular curvature invariants. We also discuss the dynamical problem of the collapse of a small mass, considered as a spherical superposition of nonspinning gyratons. Similarly to the static case, for models with more than four derivatives the Kretschmann invariant is regular during the collapse of a thick null shell. We also verify the existence of the mass gap for the formation of mini black holes even if complex and/or degenerate poles are allowed, generalizing previous considerations on the subject and covering the case of Lee-Wick gravity. These interesting regularity properties of sixth-and higher-derivative models at the linear level reinforce the question of whether there can be nonsingular black holes in the full nonlinear model. MSC: 53B50, 83D05, PACS: 04.20.-q, 04.50.Kd

show abstract

“…Recently, ref. [43] has appeared on arXiv, which discussed spontaneous symmetry breaking in a nonlocal scalar QED model. The model discussed there is the same as the one we discuss in section 3, but the conclusion is different.…”

Section: Introductionmentioning

confidence: 99%

“…One of the purposes of our paper is to clarify this subtlety and explore a possible way out, which is different from the one in ref. [43].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Higgs mechanism in nonlocal field theories

Hashi

Isono

Noumi

et al. 2018

J. High Energ. Phys.

View full text Add to dashboard Cite

We study spontaneous gauge symmetry breaking and the Higgs mechanism in nonlocal field theories. Motivated by the level truncated action of string field theory, we consider a class of nonlocal field theories with an exponential factor of the d'Alembertian attached to the kinetic and mass terms. Modifications of this kind are known to make mild the UV behavior of loop diagrams and thus have been studied not only in the context of string theory but also as an alternative approach to quantum gravity. In this paper we argue that such a nonlocal theory potentially includes a ghost mode near the nonlocal scale in the particle spectrum of the symmetry broken phase. This is in sharp contrast to local field theories and would be an obstruction to making a simple nonlocal model a UV complete theory. We then discuss a possible way out by studying nonlocal theories with extra symmetries such as gauge symmetries in higher spacetime dimensions.

show abstract

One-loop effective potential in the nonlocal supersymmetric gauge theory

Cited by 11 publications

References 24 publications

The all-loop perturbative derivation of the NSVZ $$\beta $$-function and the NSVZ scheme in the non-Abelian case by summing singular contributions

The all-loop perturbative derivation of the NSVZ $$\beta $$-function and the NSVZ scheme in the non-Abelian case by summing singular contributions

Weak-field limit and regular solutions in polynomial higher-derivative gravities

Higgs mechanism in nonlocal field theories

Contact Info

Product

Resources

About