Erratum: Thermal and quantum fluctuations around domain walls [Phys. Rev. D<b>65</b>, 065021 (2002)]

Carvalho, C. A. A. de

doi:10.1103/physrevd.66.049901

Cited by 12 publications

(26 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These results have a direct impact on the lepton flavor changing radiative lepton decay reactions. Thus the possibility of getting observably large rates for the decay mode [108], µ − → e − + γ, is favored by the atmospheric data but ruled out by the solar data.…”

Section: Phenomenological Constraints On Bilinear R Parity Violationmentioning

confidence: 99%

Phenomenological constraints on broken R parity symmetry in supersymmetry models

Chemtob

2005

Progress in Particle and Nuclear Physics

157

113

View full text Add to dashboard Cite

The R parity odd renormalizable Yukawa interactions of quarks and leptons with the scalar superpartners have the ability to violate the baryon and lepton numbers, change the hadron and lepton flavors and make the lightest supersymmetric particle unstable. The existence of an approximate R parity symmetry would thus affect in a deep way the conventional framework of the Minimal Supersymmetric Standard Model where an exact R parity symmetry is built-in by assumption. The purpose of the present review is to survey in a systematic way the direct experimental constraints set on the R parity violating couplings by the low and intermediate energy physics processes. We consider first the option of bilinear R parity violation and spontaneously broken R parity symmetry and proceed next to the trilinear R parity violating interactions. The discussion aims at surveying the indirect coupling constant bounds derived from fundamental tests of the Standard Model and the variety of scattering and rare decay processes. We also discuss the constraints imposed by the renormalization group scale evolution and the cosmological and astrophysical phenomenology. IntroductionThe multiplicative Z 2 symmetry, known as R parity, fulfills a central function in supersymmetry physics. Without R parity symmetry, the Minimal Supersymmetric Standard Model (MSSM) would include bilinear and trilinear renormalizable superpotential terms, coupling the quarks and leptons to their scalar superpartners, which have the ability to initiate fast nucleon decay, large neutrinos masses and the LSP (lightest supersymmetric particle) disintegration into ordinary particles. Thus apart from threatening the nucleon and neutrino stability and contributing to the hadron and lepton flavor changing processes and to neutrino masses and flavor mixing, the R parity odd Yukawa interactions would also disallow any of the supersymmetric cosmic relic particles to contribute to the Universe dark matter component. The R parity symmetry was first introduced in a 1978 work by Farrar and Fayet [1], as part of attempts towards building a realistic particle physics phenomenology of supersymmetry [2,3,4]. This step followed closely in time the major developments in years [1974][1975] which culminated in the construction of supersymmetric field theories [5,6,7], the implementation of spontaneous supersymmetry breaking schemes [8,9] and the discovery of R symmetries [10]. The collection of reprints by Ferrara [11] offers a valuable grasp on the progress of ideas from the early period until the middle 1980's. The subsequent developments are discussed in the review articles [12,13] and the collection of preprints by Salam and Sezgin [14]. As an historical aside on the origin of R symmetries, we note that Wess and Zumino [5] introduced an R quantum number as a weighting index labeling distinct representations of *

show abstract

Section: Phenomenological Constraints On Bilinear R Parity Violationmentioning

confidence: 99%

Phenomenological constraints on broken R parity symmetry in supersymmetry models

Chemtob

2005

Progress in Particle and Nuclear Physics

157

113

View full text Add to dashboard Cite

show abstract

“…The three-dimensional calculations listed above can all be viewed as the result of computing the Feynman diagrams of a semiclassical expansion around the mean-field interface background [16]. The diagrams involve a semiclassical propagator and semiclassical vertices [17]: the former is the inverse of the Hamiltonian of a Pöschl-Teller problem in one dimension; the latter include a background dependent cubic vertex, in addition to the quartic vertex of the double-well.…”

mentioning

confidence: 99%

“…In this paper, we use a closed analytic form for the semiclassical propagator that has been recently obtained [16], and show that it amounts to summing up the spectral representation for the inverse of the Pöschl-Teller Hamiltonian. Indeed, from our expression, we recover the eigenvalues and eigenfunctions of that problem.…”

mentioning

confidence: 99%

Correlations around an interface

2004

View full text Add to dashboard Cite

We compute one-loop correlation functions for the fluctuations of an interface using a field theory model. We obtain them from Feynman diagrams drawn with a propagator which is the inverse of the Hamiltonian of a Pöschl-Teller problem. We derive an expression for the propagator in terms of elementary functions, show that it corresponds to the usual spectral sum, and use it to calculate quantities such as the surface tension and interface profile in two and three spatial dimensions. The three-dimensional quantities are rederived in a simple, unified manner, whereas those in two dimensions extend the existing literature, and are applicable to thin films. In addition, we compute the one-loop self-energy, which may be extracted from experiment, or from Monte Carlo simulations. Our results may be applied in various scenarios, which include fluctuations around topological defects in cosmology, supersymmetric domain walls, Z(N) bubbles in QCD, domain walls in magnetic systems, interfaces separating Bose-Einstein condensates, and interfaces in binary liquid mixtures.

show abstract

“…Gh, 11.15.Kc, 11.27.+d A renewed interest in the computation of quantum energies around classical configurations has recently arose. See for example [1][2][3][4][5][6][7] and references therein. The methods used to approach the problem include the derivative expanssion method [1], the scattering phase shift technique [2], the mode regularization method [4], the zeta-function regularization technique [5] and also the dimensional regularization method [7].…”

mentioning

confidence: 99%

One loop renormalization of soliton quantum mass corrections in (1+1)-dimensional scalar field theory models

Flores-Hidalgo

2002

Physics Letters B

View full text Add to dashboard Cite

The bare one loop soliton quantum mass corrections can be expressed in two ways: as a sum over the zero-point energies of small oscillations around the classical configuration, or equivalently as the (Euclidean) effective action per unit time. In order to regularize the bare one loop quantum corrections (expressed as the sum over the zero-point energies) we subtract and add from it the tadpole graph that appear in the expansion of the effective action per unit time. The subtraction renders the one loop quantum corrections finite. Next, we use the renormalization prescription that the added tadpole graph cancels with adequate counterterms, obtaining in this way a finite unambiguous expression for the one loop soliton quantum mass corrections. When we apply the method to the solitons of the sine-Gordon and φ 4 kink models we obtain results that agree with known results. Finally we apply the method to compute the soliton quantum mass corrections in the recently introduced φ 2 cos 2 ln(φ 2 ) model. PACS number(s): 11.10. Gh, 11.15.Kc, 11.27.+d A renewed interest in the computation of quantum energies around classical configurations has recently arose. See for example [1][2][3][4][5][6][7] and references therein. The methods used to approach the problem include the derivative expanssion method [1], the scattering phase shift technique [2], the mode regularization method [4], the zeta-function regularization technique [5] and also the dimensional regularization method [7]. In this letter I will give a very simple derivation of the one loop renormalized soliton quantum mass correction in 1+1 dimensional scalar field theory models, using the scattering phase shift technique. The approach used here differ from those given in Ref. [2]. Consequently, it is obtained a formula, Eq. (19), that at first sight is different from the one obtained in Ref. [2].Let us start with a Lagrangean densitywhere µ = 0, 1. When U (φ) has at least two degenerate trivial vacua the classical equation of motion admits static finite energy solutions φ c . These solutions are called solitons [9]. After quantizing around one of these static solutions, it is showed that there is a quantum state corresponding to this static solution. This state is called the soliton quantum state [10]. The soliton quantum state behaves as a particle and in particular, the first contribution different from zero to their mass is given by the (classical) energy of the static solution. The one loop (bare) soliton quantum mass correction is given by

show abstract

Erratum: Thermal and quantum fluctuations around domain walls [Phys. Rev. D65, 065021 (2002)]

Cited by 12 publications

References 19 publications

Phenomenological constraints on broken R parity symmetry in supersymmetry models

Phenomenological constraints on broken R parity symmetry in supersymmetry models

Correlations around an interface

One loop renormalization of soliton quantum mass corrections in (1+1)-dimensional scalar field theory models

Contact Info

Product

Resources

About