This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.

Effective field theories have been widely used in nuclear physics. This volume is devoted to exploring the intricate structure of compact-star matter inaccessible directly from QCD. It is principally anchored on hidden symmetries and topology presumed to be encoded in QCD. It differs from standard effective field theory and energy density functional approaches in that it exploits renormalization-group flow in the complex 'vacuum' sliding with density inferred from topology change identified as a manifestation of baryon-quark continuity in dense matter. It makes a variety of predictions that drastically differ from the conventional treatments that could be tested by upcoming terrestrial and astrophysical experiments.This monograph recounts how to go, in one unique field theoretic formalism in terms of hadronic degrees of freedom, from finite nuclei to dense compact-star matter that could be explored in RIB-type machines in nuclear physics as well as in LIGO-type gravity waves in astrophysics.

The topic of the CVIII session of Les Houches School, held in July 2017, was Effective Field Theory (EFT). The goal of this school was to offer a broad introduction to the foundations and modern applications of Effective Field Theory in many of its incarnations.

A detailed and comprehensive exploration of the foundations and fundamentals of effective field theories.

The proceedings reflect a broad spectrum of topics in contemporary theoretical physics: quantum aspects of black holes; recent progress in critical and noncritical string theory; spin chains quantum hall effect and generalized statistics; stochastic dynamics turbulence and reaction kinetics; foundations of quantum mechanics; new statistics in field theory; quantum field theory on Riemann surfaces and knot theory; lattice field theories. The lectures present developments in the frontiers of these subjects and provide interdisciplinary links between the areas.

This is a monograph on geometrical and topological features which arise in quantum field theory. It is well known that when a chiral fermion interacts with a gauge field we have chiral anomaly which corresponds to the fact that divergence of the axial vector current does not vanish. It is observed that this is related to certain topological features associated with the fermion and leads to the realization of the topological origin of fermion number as well as the Berry phase. The role of gauge fields in the quantization procedure has its implications in these topological features of a fermion and helps us to consider a massive fermion as a soliton (skyrrnion). In this formalism chiral anomaly is found to be responsible for mass generation. This has its relevance in electroweak theory where it is observed that weak interaction gauge bosons attain mass topologically. The geometrical feature of a skyrmion also helps us to realize the internal symmetry of hadrons from reflection group. Finally it has been shown that noncommutative geometry where the space time manifold is taken to be X = M x Zz has its relevance in the description of a massive 4 fermion as a skyrmion when the discrete space is considered as the internal space and the symmetry breaking leads to chiral anomaly. In chap. l preliminary mathematical formulations related to the spinor structure have been discussed. In chap.

Landau's theoretical minimum, Laudau's seminar, ITEP in the beginning of the 1950's / B.L. Ioffe -- pt. 9. ch. 36. QCD and weak interactions of light quarks / J. Bijnens -- ch. 37. Heavy quarkonium dynamics / A.H. Hoang -- pt. 10. ch. 38. Monopoles, vortices and strings: confinement and deconfinement in 2 + 1 dimensions at weak coupling / I.I. Kogan and A. Kovner -- pt. 11. ch. 39. Uses of effective field theory in lattice QCD / A.S. Kronfeld -- ch. 40. Loop equations and nonperturbative QCD / A. Dubin and Y. Makeenko

This is the sequel to the first volume to treat in one effective field theory framework the physics of strongly interacting matter under extreme conditions. This is vital for understanding the high temperature phenomena taking place in relativistic heavy ion collisions and in the early Universe, as well as the high-density matter predicted to be present in compact stars. The underlying thesis is that what governs hadronic properties in a heat bath and/or a dense medium is hidden local symmetry which emerges from chiral dynamics of light quark systems and from the duality between QCD in 4D and bulk gravity in 5D as in AdS/QCD. Special attention is paid to hot matter relevant for relativistic heavy ion processes and to dense matter relevant for compact stars that are either stable or on the verge of collapse into black holes.