Analytic aspects of microlocal analysis of Feynman amplitudes – Complete Phd and Masters Thesis

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Table of Contents:

Chapter 1: Introduction
1.1 Background of the Study
1.2 Statement of the Problem
1.3 Objectives of the Study
1.4 Research Questions
1.5 Significance of the Study
1.6 Scope of the Study
1.7 Limitations of the Study
1.8 Definition of Terms

Chapter 2: Literature Review
2.1 Historical Development of Microlocal Analysis
2.2 Theoretical Framework of Feynman Amplitudes
2.3 Previous Studies on Analytic Aspects of Feynman Amplitudes
2.4 Gaps in the Literature
2.5 Theoretical Contributions to the Field

Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Data Analysis Techniques
3.4 Sampling Procedures
3.5 Ethical Considerations

Chapter 4: Discussion of Findings
4.1 Analysis of Microlocal Properties of Feynman Amplitudes
4.2 Interpretation of Results
4.3 Comparison with Previous Studies
4.4 Implications for Future Research

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion
5.3 Recommendations for Future Research

Brief Overview:

The thesis “Analytic Aspects of Microlocal Analysis of Feynman Amplitudes” explores the mathematical foundations of quantum field theory through the lens of microlocal analysis. The study aims to investigate the analytic properties of Feynman amplitudes, which are essential in understanding the behavior of quantum particles.

Chapter 1 provides an introduction to the research topic, outlining the objectives of the study and the limitations and scope of the research. Chapter 2 reviews the existing literature on microlocal analysis and Feynman amplitudes to establish a theoretical framework for the study.

Chapter 3 details the research methodology, including the design, data collection methods, and analysis techniques used in the study. Chapter 4 presents the findings of the research, analyzing the microlocal properties of Feynman amplitudes and discussing the implications of the results.

Finally, Chapter 5 concludes the thesis by summarizing the key findings and recommendations for future research in the field of microlocal analysis of Feynman amplitudes. Through this study, new insights into the analytic aspects of quantum field theory are expected to contribute to the advancement of theoretical physics.

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