Calculating the two-loop effective potential of the Weinberg-Salam model

Alhendi, H. A.

doi:10.1103/physrevd.37.3749

Cited by 11 publications

(18 citation statements)

References 32 publications

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“…[19] and will be needed when we consider the RG improved form of V . At this point it is appropriate to comment on the work of Alhendi [5]. He essentially reverses the procedure adopted in this section, in order to deduce the µ-dependent terms in V (2) given the M S β-functions.…”

Section: κβmentioning

confidence: 99%

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The standard model effective potential at two loops

Ford¹,

Jack²,

Jones³

1997

Nuclear Physics B

153

206

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Section: κβmentioning

confidence: 99%

“…(This calculation was in fact attempted in ref. [5]; we will comment later on this paper). We shall instead calculate the full V (2) , using minimal subtraction (M S) throughout, and use the results to infer the 2-loop β-functions for m 2 (β (2) m 2 ) and the quartic Higgs coupling λ (β (2) λ ).…”

Section: Introductionmentioning

confidence: 99%

The standard model effective potential at two loops

Ford¹,

Jack²,

Jones³

1997

Nuclear Physics B

153

206

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“…(Again, we are going to work in the approximation where the invariants of the gravitational field -R and S µ S µ -appear linearly). This method has been developed already for flat space [17] and generalized later to curved spacetime [18]. Here we will give the closed expressions corresponding to the two-loop effective potential.…”

Section: Introductionmentioning

confidence: 99%

The Renormalization Group and the Effective Potential in a Curved Spacetime with Torsion

Bytsenko

Elizalde

Odintsov

1993

Progress of Theoretical Physics

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The renormalization-group method is employed to study the effective potential in curved spacetime with torsion. The renormalization·group improved effective potential corresponding to a massless gauge theory in such a spacetime is found and in this way a generalization of Coleman and Weinberg's approach corresponding to fiat space is obtained. A method which works with the renormalization·group equation for two-loop effective potential calculations in torsionful spacetime is developed. The effective potential for the conformal factor in the conformal dynamics of quantum gravity with torsion is thereby calculated explicitly. Finally, torsion-induced phase transitions are discussed. § 1. IntroductionIt is a well-known fact that string theory contains an antisymmetric two-form whose only dynamical content is that of an axion.l) The three-form gauge field strength corresponding to this anti symmetric two-form may be interpreted as the torsion (for a review of gravity with torsion see Refs. 2), 3), 15)). The () (a') string effective action 4 ) is equivalent to the usual Einstein-Cartan theory, and to first order in a' it is equivalent to higher-derivative gravity with torsion. )The equivalence between an axion in string theory and the presence of torsion has been discussed further in Ref. 6), where it has been shown also that black holes might have axion hair. 6 ),7)On the other hand, the current interest in gravity with torsion 2 ),8) stems also from the search of the so-called fifth force (for a review, see Ref.3)). Moreover, to be noted is also the fact that cosmic strings can be naturally generated by torsion.9 )The present paper is devoted to the study of interacting quantum field theory in curved spacetime with torsion. More specifically, we apply the renormalization group approach to the calculation and analysis of the effective potential corresponding to several different theories.The organization of the paper is as follows. In the next section we develop the procedure which yields a renormalization-group improvement of the effective potential corresponding to an arbitrary massless gauge theory in a curved spacetime with torsion. Some explicit examples are given. The phase structure of the RG improved effective potential for the .i!qJ4 theory is discussed in detail. Section 3 is devoted to the calculation of the two-loop effective potential in a torsionful spacetime, in a situation *) On sabbatical leave from Tomsk Pedagogical Institute, 634041 Tomsk, Russia.

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“…The RG β functions for different renormalizable gauge theories with semisimple group have been calculated in the two-loop approximation [27][28][29][30][31][32] and even beyond [33]. But in this paper we made use of the results of [27] and [30] for calculation of β functions and anomalous dimension in the two-loop approximation, applied to the HMM with scalar monopole fields.…”

Section: Renormalization Group Equations In the Higgs Monopole Modelmentioning

confidence: 99%