I describe the treatment of gravity as a quantum effective field theory. This allows natural separation (known) low energy effects from (unknown) high contributions. Within this framework, is well-behaved theory at ordinary energies. In studying class corrections energy, dominant large distance can be isolated, these are due to propagation massless particles ( including gravitons) and manifested in nonlocal and/or nonanalytic contributions vertex functions propagators. These leading...

Preface Inputs to the standard model Interactions of Symmetries and anomalies Introduction effective Lagrangians Leptons Very low energy QCD - Pions photons Introducing kaons etas Kaons S=1 interaction Kaon mixing CP violation The large N expansion Phenomenological models Baryon properties Hadron spectroscopy Weak interactions heavy quarks Higgs boson electroweak gauge bosons Appendices References Index.

I argue that the leading quantum corrections, in powers of energy or inverse distance, may be computed gravity through knowledge only low-energy structure theory. As an example, calculate corrections to Newtonian gravitational potential.

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We compute the leading post-Newtonian and quantum corrections to Coulomb Newtonian potentials using full modern arsenal of on-shell techniques; we employ spinor-helicity variables everywhere, use Kawai-Lewellen-Tye (KLT) relations derive gravity amplitudes from gauge theory unitarity methods extract terms needed at one-loop order. stress that our results are universal thus will hold in any with same low-energy degrees freedom as considering. Previous for potentials, derived historically...

We treat general relativity as an effective field theory, obtaining the full nonanalytic component of scattering matrix potential to one-loop order. The lowest order vertex rules for resulting theory are presented and diagrams which yield leading nonrelativistic post-Newtonian quantum corrections gravitational amplitude second in G calculated detail. Fourier transformed amplitudes a our result is discussed relation previous calculations. definition well, we show that ambiguity under...

In theories in which different regions of the universe can have values physical parameters, we would naturally find ourselves a region has parameters favorable for life. We explore range anthropically allowed mass parameter Higgs potential, $\mu^2$. For $\mu^2<0$, requirement that complex elements be formed suggests vacuum expectation value $v$ must magnitude less than 5 times its observed value. $\mu^2>0$, baryon stability requires $|\mu|<<M_P$, Planck Mass. Smaller $|\mu^2|$ may or not...

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We consider possible violations of the equivalence principle through exchange a light `dilaton-like' scalar field. Using recent work on quark-mass dependence nuclear binding, we find that dilaton-quark-mass coupling induces significant equivalence-principle-violating effects varying like inverse cubic root atomic number - A^{-1/3}. provide general parameterization couplings, but argue two parameters are likely to dominate equivalence-principle phenomenology. indicate implications this...

In theories with more scalar multiplets than the minimal Weinberg-Salam model, there will exist charged physical Higgs particles, in addition to neutral particle. We examine theory and phenomenology of such a situation as guide for future experimental searches.

Chiral Lagrangians contain in their coefficients information concerning the underlying fundamental theory. We show that to a large measure this structure is determined by duality with low-mass spectrum of This tested some model theories and then applied QCD. In real world, only vector mesons are light enough pass our criteria for being low mass, practice they do seem dominate phenomenological Lagrangians. raises possibility fusion between vector-dominance ideas rigorous chiral Lagrangian methods.

We examine the corrections to lowest order gravitational interactions of massive particles arising from radiative corrections. show how masslessness graviton and self-interactions imply presence nonanalytic pieces $\ensuremath{\sim}\sqrt{\ensuremath{-}{q}^{2}},\ensuremath{\sim}{q}^{2}\mathrm{ln}\ensuremath{-}{q}^{2},$ etc., in form factors energy-momentum tensor that these correspond long range modifications metric ${g}_{\ensuremath{\mu}\ensuremath{\nu}}$...

Quark-model calculations involve an extended static object localized in space. We introduce new methods, involving momentum-space wave packets, which account for this localization. These methods have little effect on heavy states, whose sizes are large compared to their Compton size 1/m, but very important light particles such as the pion. In treatment pion's mass is naturally small, and, order connect with a spontaneously broken chiral symmetry, we require that ${m}_{\ensuremath{\pi}}$...

We compute the one-loop corrections to Wess-Zumino Lagrangean governing ${\ensuremath{\pi}}^{0}$, ${\ensuremath{\eta}}_{8}\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\gamma}$. The SU(3) relation between two decay rates receives modifications of order ${m}_{K}^{2}\mathrm{ln}{m}_{K}^{2}$, as does Gell-Mann-Okubo mass formula. A consistent picture $\ensuremath{\eta}\ensuremath{-}{\ensuremath{\eta}}^{\ensuremath{'}}$ mixing emerges from both two-photon widths and matrix, however with...

This is a pedagogical introduction to the treatment of quantum general relativity as an effective field theory. It starts with overview methods theory and includes explicit example. Quantum matches this framework I discuss gravitational examples well limits also insights from on effects running couplings in perturbative regime.