Advances in Theoretical and Mathematical Physics
Scope & Guideline
Advancing knowledge at the intersection of math and physics.
Introduction
Aims and Scopes
- Quantum Field Theory (QFT) and Topological Quantum Field Theory (TQFT):
The journal publishes research on various aspects of quantum field theory, including novel formulations of QFT, the study of non-semisimple TQFTs, and their applications in understanding physical phenomena. - Geometric and Algebraic Structures in Physics:
Papers often explore the geometric underpinnings of physical theories, such as Calabi-Yau manifolds, Ricci flow, and the role of algebraic structures in quantum gravity and string theory. - Mathematical Foundations of Gravity and Space-Time Theories:
Research in this area investigates the mathematical formulations of general relativity, including the canonical formalism and asymptotic properties of space-time, contributing to the understanding of gravitational theories. - Advanced Topics in String Theory and M-Theory:
The journal features studies on string theory, M-theory, and their mathematical frameworks, including dualities, topological aspects, and implications for high-energy physics. - Machine Learning and Computational Techniques in Physics:
A growing interest in applying machine learning techniques to solve complex problems in theoretical physics, such as calculating Calabi-Yau metrics, emphasizes the journal's commitment to innovative methodologies.
Trending and Emerging
- Chiral and Topologically Ordered States:
Research on chiral topologically ordered states is gaining traction, indicating a growing interest in condensed matter physics and its connections to quantum field theories and mathematical structures. - Machine Learning Applications in Physics:
The increasing use of machine learning techniques to derive insights from complex physical models represents a significant trend, showcasing the integration of computational methods with theoretical physics. - Holography and AdS/CFT Correspondence:
The study of holographic principles and their implications for quantum gravity and condensed matter systems is becoming more prominent, reflecting ongoing interest in dualities and geometric interpretations in theoretical models. - Quantum Gravity and Non-Perturbative Approaches:
There is a noticeable shift towards non-perturbative methods in quantum gravity research, suggesting a collective move toward understanding quantum spacetime through advanced mathematical frameworks. - Interplay of Geometry and Physics in String Theory:
The exploration of geometric structures in string theory, such as Calabi-Yau manifolds and their applications, is increasingly featured, highlighting a deepening relationship between geometry and physical theories.
Declining or Waning
- Classical Theories of Gravity:
The exploration of classical gravity theories has become less frequent, as the focus shifts towards quantum gravity and its mathematical descriptions, indicating a preference for more modern approaches. - Basic Quantum Mechanics:
Research centered on fundamental aspects of quantum mechanics is appearing less often, possibly due to the community's increasing interest in more complex and abstract theories like QFT and string theory. - Traditional Algebraic Geometry Applications:
While still relevant, traditional applications of algebraic geometry without direct connections to physical theories are being overshadowed by more integrated approaches that involve topological and geometric methods.
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