scholarly journals Induced Maxwell–Chern–Simons effective action in very special relativity

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
R. Bufalo ◽  
M. Ghasemkhani ◽  
Z. Haghgouyan ◽  
A. Soto
Keyword(s):  
Special Relativity ◽  
Effective Action ◽  
Nonlocal Effects ◽  
Dynamical Part ◽  
Topological Materials ◽  
Ohmic Behavior ◽  
Higher Derivative ◽  
Very Special Relativity ◽  
The One ◽  
Chern Simons

AbstractIn this paper, we study the one-loop induced photon’s effective action in the very special relativity electrodynamics in $$(2+1)$$ ( 2 + 1 ) spacetime ($$\hbox {VSR}$$ VSR –$$\hbox {QED}_{3}$$ QED 3 ). Due to the presence of new nonlocal couplings resulting from the VSR gauge symmetry, we have additional graphs contributing to the $$\langle AA\rangle $$ ⟨ A A ⟩ and $$\langle AAA \rangle $$ ⟨ A A A ⟩ amplitudes. From these contributions, we discuss the VSR generalization of the Abelian Maxwell–Chern–Simons Lagrangian, consisting in the dynamical part and the Chern–Simons-like self-couplings, respectively. We use the VSR–Chern–Simons electrodynamics to discuss some non-Ohmic behavior on topological materials, in particular VSR effects on Hall’s conductivity. In the dynamical part of the effective action, we observe the presence of a UV/IR mixing, due to the entanglement of the VSR nonlocal effects to the quantum higher-derivative terms. Furthermore, in the self-coupling aspect, we verify the validity of the Furry’s theorem in the $${\hbox {VSR}}$$ VSR –$$\hbox {QED}_{3}$$ QED 3 explicitly.

scholarly journals Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
I. L. Buchbinder ◽  
E. A. Ivanov ◽  
B. S. Merzlikin ◽  
K. V. Stepanyantz
Keyword(s):  
Effective Action ◽  
A Priori ◽  
Coupling Constant ◽  
Harmonic Superspace ◽  
Classical Action ◽  
Higher Derivative ◽  
Component Approach ◽  
Dimensionless Coupling ◽  
The One ◽  
Dimensionless Coupling Constant

Abstract We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of renormalizable 6D, $$ \mathcal{N} $$ N = (1, 0) supersymmetric higher-derivative gauge theory with a dimensionless coupling constant. Our consideration uses the background superfield method allowing to carry out the analysis of the effective action in a manifestly gauge covariant and $$ \mathcal{N} $$ N = (1, 0) supersymmetric way. We exploit the regularization by dimensional reduction, in which the divergences are absorbed into a renormalization of the coupling constant. Having the expression for the one-loop divergences, we calculate the relevant β-function. Its sign is specified by the overall sign of the classical action which in higher-derivative theories is not fixed a priori. The result agrees with the earlier calculations in the component approach. The superfield calculation is simpler and provides possibilities for various generalizations.

scholarly journals Induction of the higher-derivative Chern–Simons extension in QED3

2016 ◽  
Vol 31 (25) ◽  
pp. 1650140 ◽  
Author(s):  
M. A. Anacleto ◽  
F. A. Brito ◽  
O. Holanda ◽  
E. Passos ◽  
A. Yu. Petrov
Keyword(s):  
Effective Action ◽  
Three Dimensional ◽  
Higher Derivative ◽  
Chern Simons

We perform the perturbative generation of the higher-derivative Chern–Simons contribution to the effective action in the three-dimensional QED at zero and finite temperatures. In the latter case, we show that as the temperature goes to infinity this contribution vanishes. However, as expected, as the temperature goes to zero only the covariant part survives. The noncovariant part contributes only in intermediate temperatures where it presents a maximum.

scholarly journals On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Breno L. Giacchini ◽  
Tibério de Paula Netto ◽  
Ilya L. Shapiro
Keyword(s):  
Renormalization Group ◽  
Quantum Gravity ◽  
Effective Action ◽  
Planck Scale ◽  
Renormalization Group Flow ◽  
Higher Derivative ◽  
Gauge Fixing ◽  
Total Action ◽  
The One ◽  
Group Flow

Abstract The effective action in quantum general relativity is strongly dependent on the gauge-fixing and parametrization of the quantum metric. As a consequence, in the effective approach to quantum gravity, there is no possibility to introduce the renormalization-group framework in a consistent way. On the other hand, the version of effective action proposed by Vilkovisky and DeWitt does not depend on the gauge-fixing and parametrization off- shell, opening the way to explore the running of the cosmological and Newton constants as well as the coefficients of the higher-derivative terms of the total action. We argue that in the effective framework the one-loop beta functions for the zero-, two- and four-derivative terms can be regarded as exact, that means, free from corrections coming from the higher loops. In this perspective, the running describes the renormalization group flow between the present-day Hubble scale in the IR and the Planck scale in the UV.

scholarly journals Feynman Rules, Ward Identities and Loop Corrections in Very Special Relativity Standard Model

Universe ◽  
2019 ◽  
Vol 5 (1) ◽  
pp. 16 ◽  
Author(s):  
Jorge Alfaro
Keyword(s):  
Standard Model ◽  
Special Relativity ◽  
Effective Action ◽  
Dimensional Regularization ◽  
External Momentum ◽  
Ward Identities ◽  
Feynman Rules ◽  
Very Special Relativity ◽  
Charged Leptons ◽  
The Masses

In this paper, we want to study one loop corrections in Very Special Relativity Standard Model(VSRSM). In order to satisfy the Ward identities and the S i m ( 2 ) symmetry of the model, we have to specify the Feynman rules, including the infrared regulator. To do this, we adapt the Mandelstam–Leibbrandt (ML) prescription to incorporate external momentum-dependent null vectors. As an example, we use the new S i m ( 2 ) invariant dimensional regularization to compute one loop corrections to the effective action in the subsector of the VSRSM that describe the interaction of photons with charged leptons. New stringent bounds for the masses of ν e and ν μ are obtained.

scholarly journals CONFORMAL SECTOR IN D=6 QUANTUM GRAVITY

1994 ◽  
Vol 09 (36) ◽  
pp. 3373-3381 ◽  
Author(s):  
SERGEI D. ODINTSOV ◽  
AUGUST ROMEO
Keyword(s):  
Effective Action ◽  
Conformal Factor ◽  
Effective Theory ◽  
Anomalous Scaling ◽  
Loop Analysis ◽  
Cosmological Constant Problem ◽  
Higher Derivative ◽  
Natural Mechanism ◽  
The One ◽  
Scaling Dimension

We discuss the conformal factor dynamics in D=6. Accepting the proposal that higher derivative dimensionless terms in the anomaly-induced effective action may be dropped, we obtain a super-renormalizable (like in D=4) effective theory for the conformal factor. The one-loop analysis of this theory gives the anomalous scaling dimension for the conformal factor and provides a natural mechanism to solve the cosmological constant problem.

ON HIGHER DERIVATIVE DILATONIC GRAVITY IN TWO DIMENSIONS

1995 ◽  
Vol 10 (28) ◽  
pp. 2071-2079 ◽  
Author(s):  
S. NAFTULIN ◽  
S.D. ODINTSOV
Keyword(s):  
Effective Action ◽  
Sigma Model ◽  
Two Dimensions ◽  
Two Dimensional ◽  
General Version ◽  
Divergent Part ◽  
Dilaton Gravity ◽  
Finiteness Conditions ◽  
Higher Derivative ◽  
The One

We discuss lowering the order of the two-dimensional scalar-tensor R2 quantum gravity, by mapping the most general version of the model to a multi-dilaton gravity, which is essentially the sigma-model coupled with the Jackiw-Teitelboim-like gravity. In the continuation of our previous research, we calculate the divergent part of the one-loop effective action in a 2-D scalar-tensor (dilatonic) gravity with the R2-term, which belongs to a specific degenerate case and cannot be obtained from the general expression. The corresponding finiteness conditions are found.

Infrared finiteness of the two-loop correction to the Chern–Simons term in the Yang–Mills–Chern–Simons theory

1995 ◽  
Vol 73 (5-6) ◽  
pp. 344-348 ◽  
Author(s):  
Yeong-Chuan Kao ◽  
Hsiang-Nan Li
Keyword(s):  
Effective Action ◽  
Background Field ◽  
Landau Gauge ◽  
Quantum Corrections ◽  
Simons Theory ◽  
Loop Correction ◽  
Loop Contribution ◽  
Yang Mills ◽  
Chern Simons ◽  
Chern Simons Theory

We show that the two-loop contribution to the coefficient of the Chern–Simons term in the effective action of the Yang–Mills–Chern–Simons theory is infrared finite in the background field Landau gauge. We also discuss the difficulties in verifying the conjecture, due to topological considerations, that there are no more quantum corrections to the Chern–Simons term other than the well-known one-loop shift of the coefficient.

scholarly journals Multi-Hamiltonian formulations and stability of higher-derivative extensions of 3d Chern–Simons

2018 ◽  
Vol 78 (2) ◽  
Author(s):  
V. A. Abakumova ◽  
D. S. Kaparulin ◽  
S. L. Lyakhovich
Keyword(s):  
Higher Derivative ◽  
Chern Simons

TETRAHEDRA AND POLYNOMIAL EQUATIONS IN TOPOLOGICAL FIELD THEORY

1991 ◽  
Vol 06 (20) ◽  
pp. 3571-3598 ◽  
Author(s):  
NOUREDDINE CHAIR ◽  
CHUAN-JIE ZHU
Keyword(s):  
Field Theory ◽  
Topological Field Theory ◽  
Fundamental Representation ◽  
Conformal Blocks ◽  
Conformal Field ◽  
Witten Theory ◽  
Topological Field ◽  
General Program ◽  
The One ◽  
Chern Simons

Some tetrahedra in SUk(2) Chern-Simons-Witten theory are computed. The results can be used to compute an arbitrary tetrahedron inductively by fusing with the fundamental representation. The results obtained are in agreement with those of quantum groups. By associating a (finite) topological field theory (FTFT) to every rational conformal field theory (RCFT), we show that the pentagon and hexagon equations in RCFT follow directly from some skein relations in FTFT. By generalizing the operation of surgery on links in FTFT, we also derive an explicit expression for the modular transformation matrix S(k) of the one-point conformal blocks on a torus in RCFT and the equations satisfied by S(k), in agreement with those required in RCFT. The implication of our results on the general program of classifying RCFT is also discussed.

The Ultimate Sophistication of Special Theory of Relativity

2021 ◽  
Vol 11 (3) ◽  
pp. 43-49
Author(s):  
Hamdoon A. Khan ◽  
Keyword(s):  
Special Relativity ◽  
Special Theory ◽  
Mathematical Approach ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
The Real ◽  
The Past ◽  
The One ◽  
The Universe ◽  
Faster Than Light

With the consideration of the light which carries the photon particles, the Lorentz transformation was constructed with an impressive mathematical approach. But the generalization of that equation for all the velocities of the universe is direct enforcement on other things not to travel faster than light. It has created serious issues in every scientific research that was done in the last century based on the special theory of relativity. This paper replaces the velocity of light with some other velocities and shows us the possible consequences and highlights the issues of special relativity. If I travel through my past or future and was able to see another me there, who would be the real Hamdoon I or the one I see there in the past or future! If the real one is only me, the one I saw, is not me, so, I could not travel through my or someone else's past or future. Therefore, no one can travel through time. If both of us are the same, can the key of personal identity be duplicated or be separated into two or more parts? These are some of the fundamental philosophical arguments that annihilate the concept of time travel which is one of the sequels of special relativity.

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