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Radiative Corrections as the Origin of Spontaneous Symmetry Breaking
TL;DR: In this article, the renormalization group calculations in Sec. 6.4 are discussed and a scanned version of the original typed manuscript is available at this http://www.latex-transcription.org.
Abstract: Although old, this may be of interest. In particular, I have had inquiries concerning the renormalization group calculations in Sec. 6.4. This is a Latex transcription. A scanned version of the original typed manuscript is available at this http URL .
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TL;DR: In this paper, the cosmological constant problem in the light of dilatation symmetry and its possible anomaly is discussed and a non-trivial "cosmon condition" that the energy-momentum tensor in the vacuum is purely anomalous is given.
Abstract: We discuss the cosmological constant problem in the light of dilatation symmetry and its possible anomaly. For dilatation symmetric quantum theories realistic asymptotic cosmology is obtained provided the effective potential has a non-trivial minimum. For theories with dilatation anomaly one needs as a non-trivial "cosmon condition" that the energy-momentum tensor in the vacuum is purely anomalous. Such a condition is related to the short-distance renormalization group behavior of the fundamental theory. Observable deviations from the standard hot big bang cosmology are possible.
1,842 citations
TL;DR: In this article, the authors present explicit models for a symmetry breakdown in the cases of the Weyl (or homothetic) group, the SL(4, R), or the GL(4-R) covering subgroup.
1,474 citations
TL;DR: In this article, the authors presented the first complete next-to-next-toleading order analysis of the Standard Model Higgs potential, showing that at the Planck scale, absolute stability of the potential is not guaranteed at 98% C.L. for Mh < 126 GeV.
Abstract: We present the rst complete next-to-next-to-leading order analysis of the Standard Model Higgs potential. We computed the two-loop QCD and Yukawa corrections to the relation between the Higgs quartic coupling ( ) and the Higgs mass (Mh), reducing the theoretical uncertainty in the determination of the critical value of Mh for vacuum stability to 1 GeV. While at the Planck scale is remarkably close to zero, absolute stability of the Higgs potential is excluded at 98% C.L. for Mh < 126 GeV. Possible consequences of the near vanishing of at the Planck scale, including speculations about the role of the Higgs eld during ination, are discussed.
1,429 citations
TL;DR: In this paper, the use of exact renormalization group equation in quantum field theory and statistical physics is reviewed. But the authors focus on the second-order phase transition and the critical behavior of polymer chains, and do not consider the non-perturbative solutions of the coarse-grained free energy.
1,254 citations
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TL;DR: In this paper, an economical theory of natural electroweak symmetry breaking was proposed, which stabilizes the electroweak scale with a naturally light Higgs and weakly coupled new physics at TeV energies.
Abstract: We present an economical theory of natural electroweak symmetry breaking, generalizing an approach based on deconstruction. This theory is the smallest extension of the Standard Model to date that stabilizes the electroweak scale with a naturally light Higgs and weakly coupled new physics at TeV energies. The Higgs is one of a set of pseudo Goldstone bosons in an SU(5)/SO(5) nonlinear sigma model. The symmetry breaking scale f is around a TeV, with the cutoff Λ4πf ~ 10 TeV. A single electroweak doublet, the `little Higgs', is automatically much lighter than the other pseudo Goldstone bosons. The quartic self-coupling for the little Higgs is generated by the gauge and Yukawa interactions with a natural size (g2, λt2), while the top Yukawa coupling generates a negative mass squared triggering electroweak symmetry breaking. Beneath the TeV scale the effective theory is simply the minimal Standard Model. The new particle content at TeV energies consists of one set of spin one bosons with the same quantum numbers as the electroweak gauge bosons, an electroweak singlet quark with charge 2/3, and an electroweak triplet scalar. One loop quadratically divergent corrections to the Higgs mass are cancelled by interactions with these additional particles.
1,004 citations
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Book•
01 Jan 1980
TL;DR: Shirkov as discussed by the authors gave a dierent perspective on the ordinary quantum theory of a single spinless, positive msss-m particle on Rd−1, and investigated a special case that relates to the Gaussian path integral and the free quantum eld.
Abstract: This site is also available in the following languages: Български Català Deutsch Ελληνικά English Español Français Hrvatski Italiano Norsk/Bokmål Polski Português Русский Slovensky Svenska ( ) ( ) Start by marking “Introduction to the Theory of Quantized Fields” as Want to Read: Want to Read saving... Want to Read. Currently Reading. Read. Introduction to the Th by D.V. Shirkov. Other editions. The quantum theory that one nds agrees with the usual picture of canonical quantization that one learns in standard eld theory. The quantum theory also comes with a representation of the inhomogeneous Lorentz group (the Poincar ́e group) that arises from an analytic continuation of the quantization of the Euclidean group. Thus the two fundamental points of view mesh to one. We rst investigate a special case that relates to the Gaussian path integral and the free quantum eld. We then give the general construction that applies for bosonic non-linear elds. Introduction to Quantum Field Theory. 24 ... In this chapter we give a dierent perspective on the ordinary quantum theory of a single spinless, positive msss-m particle on Rd−1. In this edition we have rewritten the chapters that discuss the methods of continuous integration and the renormalization group, which are two topics in theory that have become extremely important in recent years. We have also reworked and supplemented the sections on the complete Green functions.This work was done in an atmosphere of friendly advice and fruitful discussions with our colleagues from the Steklov Mathematical Institute of the USSR Academy of Sciences and of the Laboratory of Theoretical Physics of the Joint Institute of Nuclear Studies, to whom we are extremely grateful. Introduction To The Theory Of Quantized Fields
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