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.
Regular Article - Theoretical Physics. EPJ Appl.
Physics - Field Theory and Relativistic Quantum Mechanics
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