Effective Field Theory

Abstract

These lectures provide an introduction to the basic ideas and methods of Effective Field Theory, and a description of a few interesting phenomenological applications in particle physics. The main conceptual foundations are discussed in sections 2 and 3, which cover the momentum expansion and the most important issues associated with the renormalization process. Section 4 presents an overview of Chiral Perturbation Theory, the low-energy realization of Quantum Chromodynamics in the light quark sector. The Chiral Perturbation Theory framework is applied to weak transitions in section 5, where the physics of non-leptonic kaon decays is analyzed. The so-called Heavy Quark Effective Theory is briefly discussed in section 6. The electroweak chiral Effective Field Theory is described in section 7, which contains a brief overview of the effective Lagrangian associated with the spontaneous electroweak symmetry breaking. Some summarizing comments are finally given in section 8.

106 pages, 20 figures. Lectures at the 1997 Les Houches Summer School "Probing the Standard Model of Particle Interactions"

References in corpus (6)

• Chiral perturbation theory
• B Decays and the Heavy-Quark Expansion
• Tau Physics
• Chiral Lagrangians and Kaon CP-Violation
• An Introduction to Heavy Mesons
• Weak Decays, Quark Mixing and CP Violation: Theory Overview

Cited by in corpus (48)

• Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
• Chiral symmetry breaking from five dimensional spaces
• Cosmological constant and vacuum energy: old and new ideas
• Chiral Perturbation Theory and Baryon Properties
• Pion and Kaon Electromagnetic Form Factors
• The scalar and pseudoscalar sector in a five-dimensional approach to chiral symmetry breaking
• Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• The Standard Model Prediction for epsilon'/epsilon
• Technicolor and other QCD-like theories at next-to-next-to-leading order
• epsilon'/epsilon in the Chiral Limit
• Brane Effective Actions, Kappa-Symmetry and Applications
• From transition magnetic moments to majorana neutrino masses
• Towards a determination of the chiral couplings at NLO in 1/N(C): L_8(mu) and C_38(mu)
• Light Sgoldstino: Precision Measurements versus Collider Searches
• Oblique S and T Constraints on Electroweak Strongly-Coupled Models with a Light Higgs
• Scalar Form Factors in SU(3) Chiral Perturbation Theory
• Renormalizability of generalized quantum electrodynamics
• Massive Pions, Anomalies and Baryons in Holographic QCD
• On the $b$-quark running mass in QCD and the SM
• Semileptonic decays of charmed mesons in the effective action of QCD
• Charged Kaon K \to 3 pi CP Violating Asymmetries at NLO in CHPT
• Interacting Scalar Fields in the Context of Effective Quantum Gravity
• Batalin-Fradkin-Vilkovisky quantization of the generalized scalar electrodynamics
• Constraining New Physics with a Positive or Negative Signal of Neutrino-less Double Beta Decay
• Isospin Breaking in Low-Energy Charged Pion and Kaon Elastic Scattering
• An Introduction to Effective Field Theories
• Baryon chiral perturbation theory with Wilson fermions up to $\mathcal{O}(a^2)$ and discretization effects of latest $n_f=2+1$ LQCD octet baryon masses
• On the predictivity of the non-renormalizable quantum field theories
• Top quark effects in composite vector pair production at the LHC
• Quantum Corrections in the Resonance Chiral Theory
• Hadronic matrix elements for TAUOLA: 3 pi and KKpi channels
• Low-Energy Constants from Resonance Chiral Theory
• Hadronic Matrix Elements for Kaons
• On the eve of the LHC: conceptual questions in high-energy physics
• Renormalisation group invariants and sum rules: fast diagnostic tools for probing high-scale physics
• One-loop Renormalization of Resonance Chiral Theory with Scalar and Pseudoscalar Resonances
• Composite Vectors and Scalars in Theories of Electroweak Symmetry Breaking
• Chiral effective field theories of the strong interactions
• Propagation Constraints and Classical Solutions in K-essence Like Theories
• Kaon weak interactions in powers of 1/Nc
• A Higgs Boson Composed of Gauge Bosons
• Theoretical status of epsilon'/epsilon
• Weakly Broken Galileon Symmetry in Cosmology
• Sensitivity Parameter and Time Variations of Fundamental Constants
• Quantum loops in the Resonance Chiral Theory: improving the vector form factor
• Chiral loop corrections and isospin violation effects in epsilon'/epsilon
• One-loop corrections to the Higgs electroweak chiral Lagrangian
• Flavor structure from flavored Higgs mixing