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020 _a9781009290371
041 _aeng
082 _a530.1
_bCreQ
100 _aCreutz, Michael
245 _aQuarks, Gluons and Lattices /
_cMichael Creutz
260 _aCambridge:
_bCambridge;
_c©2022
300 _avi, 169p.
490 _aCambridge Monographs on Mathematical Physics
505 _a 1. Quarks and gluons 2. Lattices 3. Path integrals and statistical mechanics 4. Scalar fields 5. Fermions 6. Gauge fields 7. Lattice gauge theory 8. Group integration 9. Gauge-invariance and order parameters 10. Strong coupling 11. Weak coupling 12. Renormalization and the continuum limit 13. Asymptotic freedom and dimensional transmutation 14. Mean field theory 15. The Hamiltonian approach 16. Discrete groups and duality 17. Migdal-Kadanoff recursion relations 18. Monte Carlo simulation I: the method 19. Monte Carlo simulation II: measuring observables 20. Beyond the Wilson action
520 _aThis book introduces the lattice approach to quantum field theory. The spectacular successes of this technique include compelling evidence that exchange of gauge gluons can confine the quarks within subnuclear matter. The lattice framework enables novel schemes for quantitative calculation and has caused considerable cross-disciplinary activity between elementary particle and solid state physicists. The treatment begins with the lattice definition of a path integral and ends on Monte Carlo simulation methods. Other topics include invariant group integration, duality, mean field theory and renormalization group techniques. The reader is assumed to have a basic background in relativistic quantum mechanics and some exposure to gauge theories. Provides a gentle introduction to the basic results in lattice field theory Gives examples of calculations to build confidence in manipulating gauge groups, group integrals, duality and so on This title has been reissued as an Open Access publication on Cambridge Core
650 _aTheoretical Physics
650 _aQuantum Field Theory
650 _aSolid-State Physics
650 _aQuantum Chromodynamics
650 _aRenormalization Group
942 _cBK
999 _c7116
_d7116