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Relativistic quantum mechanics and introduction to quantum field theory

Quantum Field Theory : QFT is the basic mathematical framework that is used to describe elementary particles. QFT Stanford Encyc.

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Mandl and G. Shaw, Quantum Field Theory , 2nd ed.

Relativistic Quantum Mechanics and Field Theory Franz Gross Wiley VCH

Wiley, Ryder, Quantum Field Theory , 2nd ed. It provides a good review of special relativity, 4 vectors, the Minkowski metric tensor, and covariance. Lancaster and S. Mark Srednicki, Quantum Field Theory , A free draft is available at this website.

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Zee, What is Quantum Field Theory video. Textbook: xxx , 2nd ed. The non-relativistic quantum mechanics or simply quantum mechanics e. Schrodinger equation can be used to solve problems at non-relativistic energies i. To extend QM to the relativistic domain, we need a relativistic wave equation to replace the non-relativistic Schrodinger equation.

Relativistic Quantum Mechanics and Field Theory

Particles, along with antiparticles , reappear in a very nontrivial manner as the excitations of the field. The fact that one needs to adopt completely different languages to describe a relativistic and non-relativistic free particle implies that obtaining the NRQM limit of QFT is conceptually nontrivial. I examine this limit in several approaches like, for e. The real difficulty has its origin in the necessary existence of antiparticles to ensure a particular notion of relativistic causality. Because of these conceptual issues, it turns out that one cannot , in fact, obtain some of the popular descriptions of NRQM by any sensible limiting procedure applied to QFT.

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  • This fact has several implications, especially for the operational notion of space coordinates in quantum theory. A close examination of these issues, which arise when quantum theory is combined with special relativity, could offer insights in the context of attempts to combine quantum theory with general relativity.

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