Unconventional minimal subtraction and Callan–Symanzik methods for Lorentz-violating scalar field theories at all loop orders

We present an explicit analytical computation of the quantum corrections, at next-to-leading order, to the critical exponents. We employ for that the Unconventional minimal subtraction, recently proposed, and the Callan–Symanzik methods to probe the universality hypothesis by comparing the outcomes for the critical exponents evaluated in both methods and the ones calculated previously in massless theories renormalized at different renormalization schemes. Furthermore, the consistency of the former method is investigated for the first time in literature, to our knowledge. At the end, we compute the critical exponents at any loop level by an induction process and furnish the physical interpretation of the results.

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NLO critical exponents of O(N) λ ϕ4 scalar field theories in curved spacetime

International Journal of Modern Physics D ◽

10.1142/s021827181950024x ◽

2019 ◽

Vol 28 (01) ◽

pp. 1950024

Author(s):

H. A. S. Costa ◽

P. R. S. Carvalho

Keyword(s):

Scalar Field ◽

Critical Exponents ◽

Conformal Symmetry ◽

Field Theories ◽

Quantum Corrections ◽

Leading Order ◽

Loop Order ◽

Curved Spacetime ◽

Flat Spacetime

In this paper, we investigate analytically the conformal symmetry influence on the next-to-leading order radiative quantum corrections to critical exponents for massless O([Formula: see text]) [Formula: see text] scalar field theories in curved spacetime. We renormalize the theory by applying the Bogoliubov–Parasyuk–Hepp–Zimmermann (BPHZ) method. We find that the critical exponents are the same as that of flat spacetime, at least at the loop order considered. We argue that this result agrees perfectly with the universality hypothesis.

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Influence of exact Lorentz-violating mechanism on the critical exponents for massive q-deformed λϕ4 scalar field theory

International Journal of Modern Physics D ◽

10.1142/s0218271819501050 ◽

2019 ◽

Vol 28 (08) ◽

pp. 1950105

Author(s):

P. R. S. Carvalho ◽

M. I. Sena-Junior

Keyword(s):

Scalar Field ◽

Critical Exponents ◽

Field Theories ◽

Quantum Corrections ◽

Leading Order ◽

Independent Field ◽

Group Methods ◽

Breaking Mechanism ◽

Lorentz Symmetry Breaking ◽

Renormalization Group Methods

We probe the influence of Lorentz-violating mechanism, treated exactly, on the radiative quantum corrections to critical exponents for massive [Formula: see text]-deformed O([Formula: see text]) [Formula: see text] scalar field theories. We attain that task by employing three distinct and independent field-theoretic renormalization group methods. Firstly, we compute the critical exponents up to the finite next-to-leading order for then generalizing the results for any loop level. We show that the [Formula: see text]-deformed critical exponents are insensible to the Lorentz symmetry breaking mechanism thus agreeing with the universality hypothesis.

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Exact Lorentz-violating q-deformed O(N) universality class

International Journal of Modern Physics D ◽

10.1142/s0218271819500500 ◽

2019 ◽

Vol 28 (03) ◽

pp. 1950050

Author(s):

P. R. S. Carvalho ◽

M. I. Sena-Junior

Keyword(s):

Critical Exponents ◽

Universality Class ◽

Field Theories ◽

Quantum Corrections ◽

Leading Order ◽

Loop Order ◽

Independent Field ◽

Group Methods ◽

Renormalization Group Methods ◽

Finite Loop

We examine the influence of exact Lorentz-violating symmetry mechanism on the radiative quantum corrections to the critical exponents for massless [Formula: see text]-deformed O([Formula: see text]) [Formula: see text] scalar field theories. For that, we employ three different and independent field-theoretic renormalization group methods for computing analytically the [Formula: see text]-deformed critical exponents up to next-to-leading order. Then, we generalize the former finite loop level results for any loop order. We show that the Lorentz-violating [Formula: see text]-deformed critical exponents, obtained through the three methods, turn out to be identical and furthermore the same as their Lorentz-invariant [Formula: see text]-deformed ones. We argue that this result is in accordance with the universality hypothesis.

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Two-loop quantum corrections to the soliton mass in two-dimensional scalar field theories

Nuclear Physics B ◽

10.1016/0550-3213(76)90497-1 ◽

1976 ◽

Vol 115 (3) ◽

pp. 411-428 ◽

Cited By ~ 35

Author(s):

H.J. Vega

Keyword(s):

Scalar Field ◽

Field Theories ◽

Quantum Corrections ◽

Two Dimensional

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Complete leading-order standard model corrections to quantum leptogenesis

Journal of High Energy Physics ◽

10.1007/jhep09(2020)036 ◽

2020 ◽

Vol 2020 (9) ◽

Author(s):

Paul Frederik Depta ◽

Andreas Halsch ◽

Janine Hütig ◽

Sebastian Mendizabal ◽

Owe Philipsen

Keyword(s):

Standard Model ◽

Gauge Coupling ◽

Thermal Bath ◽

Leading Order ◽

Boltzmann Equations ◽

The Standard Model ◽

Majorana Neutrinos ◽

Infinite Loop ◽

First Time ◽

The Universe

Abstract Thermal leptogenesis, in the framework of the standard model with three additional heavy Majorana neutrinos, provides an attractive scenario to explain the observed baryon asymmetry in the universe. It is based on the out-of-equilibrium decay of Majorana neutrinos in a thermal bath of standard model particles, which in a fully quantum field theoretical formalism is obtained by solving Kadanoff-Baym equations. So far, the leading two-loop contributions from leptons and Higgs particles are included, but not yet gauge corrections. These enter at three-loop level but, in certain kinematical regimes, require a resummation to infinite loop order for a result to leading order in the gauge coupling. In this work, we apply such a resummation to the calculation of the lepton number density. The full result for the simplest “vanilla leptogenesis” scenario is by $$ \mathcal{O} $$ O (1) increased compared to that of quantum Boltzmann equations, and for the first time permits an estimate of all theoretical uncertainties. This step completes the quantum theory of leptogenesis and forms the basis for quantitative evaluations, as well as extensions to other scenarios.

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BPS states for scalar field theories based on $$ \mathfrak{g} $$2 and $$ \mathfrak{su} $$(4) algebras

Journal of High Energy Physics ◽

10.1007/jhep05(2020)011 ◽

2020 ◽

Vol 2020 (5) ◽

Author(s):

G. Luchini ◽

T. Tassis

Keyword(s):

Scalar Field ◽

Field Theories ◽

Bps States

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Quantum corrections to slow-roll inflation: scalar and tensor modes

Journal of High Energy Physics ◽

10.1007/jhep04(2021)273 ◽

2021 ◽

Vol 2021 (4) ◽

Author(s):

Jens O. Andersen ◽

Magdalena Eriksson ◽

Anders Tranberg

Keyword(s):

Scalar Field ◽

Quantum Corrections ◽

Tree Level ◽

Field Equations ◽

Slow Roll ◽

Scalar Field Equations ◽

Slow Rolling ◽

Different Sources ◽

Suitable Potential ◽

Quadratic Order

Abstract Inflation is often described through the dynamics of a scalar field, slow-rolling in a suitable potential. Ultimately, this inflaton must be identified with the expectation value of a quantum field, evolving in a quantum effective potential. The shape of this potential is determined by the underlying tree-level potential, dressed by quantum corrections from the scalar field itself and the metric perturbations. Following [1], we compute the effective scalar field equations and the corrected Friedmann equations to quadratic order in both scalar field, scalar metric and tensor perturbations. We identify the quantum corrections from different sources at leading order in slow-roll, and estimate their magnitude in benchmark models of inflation. We comment on the implications of non-minimal coupling to gravity in this context.

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Mineralogy and Geochemistry of Ultramafic Rocks from Rachoni Magnesite Mine, Gerakini (Chalkidiki, Northern Greece)

Minerals ◽

10.3390/min10110934 ◽

2020 ◽

Vol 10 (11) ◽

pp. 934

Author(s):

Evangelos Tzamos ◽

Micol Bussolesi ◽

Giovanni Grieco ◽

Pietro Marescotti ◽

Laura Crispini ◽

...

Keyword(s):

Raw Materials ◽

Mining Area ◽

Ultramafic Rocks ◽

Northern Greece ◽

Icp Ms ◽

Time In Literature ◽

History Of ◽

First Time ◽

The Eu

The importance of magnesite for the EU economy and industry is very high, making the understanding of their genesis for the exploration for new deposits a priority for the raw materials scientific community. In this direction, the study of the magnesite-hosting ultramafic rocks can be proved very useful. For the present study, ultramafic rock samples were collected from the magnesite ore-hosting ophiolite of the Gerakini mining area (Chalkidiki, Greece) to investigate the consecutive alteration events of the rocks which led to the metallogenesis of the significant magnesite ores of the area. All samples were subjected to a series of analytical methods for the determination of their mineralogical and geochemical characteristics: optical microscopy, XRD, SEM, EMPA, ICP–MS/OES and CIPW normalization. The results of these analyses revealed that the ultramafic rocks of the area have not only all been subjected to serpentinization, but these rocks have also undergone carbonation, silification and clay alteration. The latter events are attributed to the circulation of CO2-rich fluids responsible for the formation of the magnesite ores and locally, the further alteration of the serpentinites into listvenites. The current mineralogy of these rocks was found to be linked to one or more alteration event that took place, thus a significant contribution to the metallo- and petrogenetic history of the Gerakini ophiolite has been made. Furthermore, for the first time in literature, Fe inclusions in olivines from Greece were reported.

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