By Felix Finster, Johannes Kleiner, Christian Röken, Jürgen Tolksdorf
Quantum physics has been hugely winning for greater than ninety years. however, a rigorous building of interacting quantum box concept continues to be lacking. furthermore, it really is nonetheless uncertain how you can mix quantum physics and common relativity in a unified actual thought. Attacking those difficult difficulties of latest physics calls for hugely complex mathematical equipment in addition to notably new actual concepts.
This ebook offers assorted actual principles and mathematical ways during this path. It includes a conscientiously chosen cross-section of lectures which happened in autumn 2014 on the 6th convention ``Quantum Mathematical Physics - A Bridge among arithmetic and Physics'' in Regensburg, Germany. within the culture of the opposite complaints overlaying this sequence of meetings, a unique function of this ebook is the exposition of a large choice of ways, so that it will facilitate a comparison.
The publication is especially addressed to mathematicians and physicists who're drawn to basic questions of mathematical physics. It permits the reader to procure a vast and up to date assessment of a desirable energetic study area.
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Extra resources for Quantum Mathematical Physics: A Bridge between Mathematics and Physics
Sample text
2 From the EAA to the C-Function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Asymptotically Safe Quantum Gravity . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
47, 082303 (2006). math-ph/0602042 17. J. Fewster, R. Verch, Dynamical locality and covariance: what makes a physical theory the same in all spacetimes? Ann. H. Poincaré 13, 1613–1674 (2012). 4785 18. J. Fewster, R. Verch, Algebraic Quantum Field Theory in Curved Spacetimes (2015). 00586 19. M. Fierz, Über die relativistische Theorie kräftefreier Teilchen mit beliebigem Spin. Helv. Phys. Acta 12, 3–37 (1939) 20. K. Fredenhagen, K. Rejzner, Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory.
20 22 33 39 40 Abstract We describe a functional renormalization group-based method to search for ‘C-like’ functions with properties similar to that in 2D conformal field theory. It exploits the mode counting properties of the effective average action and is particularly suited for theories including quantized gravity. e. asymptotically safe metric gravity. Keywords Quantum gravity • Asymptotic safety • c-theorem.