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Summary

Scalar quantum field theory is introduced in the functional integral formulation, starting from classical field theory and quantum mechanics. We consider Euclidean time and relate the system in the lattice regularization to classical statistical mechanics.

Summary

In this chapter, we explore aspects of quantum field theory related to the topics of lattice field theory, field theory at finite temperature and strong fields. The connection between the last two subjects is that they depart from quantum field theory in the vacuum (e.g., scattering amplitudes for high-energy physics) by considering situations with a large density of particles, in which the quantum field theory formalism needs to be supplemented with aspects of many-body physics. The reason for the inclusion of lattice field theory in this chapter is that, being a Euclidean formulation of QFT, it has a natural finite-temperature interpretation if one views the inverse of the extent of the time direction as a temperature.

Summary

The third chapter explores the connections of fluid dynamics with various microscopic approaches and techniques, discussing kinetic theory, gauge/gravity duality, thermal quantum field theory, and lattice field theory.

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3 results

1 - Basics of Quantum Field Theory

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5 - Lattice, Finite T, Strong Fields

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3 - Microscopic Theory Background

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3 results

1 - Basics of Quantum Field Theory

Summary

5 - Lattice, Finite T, Strong Fields

Summary

3 - Microscopic Theory Background

Summary