Conveners
T3-4 Mathematical Physics (DTP) | Physique mathématique (DPT)
- Svetlana Barkanova (Acadia University)
It is a well-known fact that quantum field theory usually requires renormalization to deal with divergent terms in perturbation theory. For relativistic quantum systems, Epstein and Glaser have proposed causal perturbation theory (CPT) as a method to avoid divergences before they occur. The key part of this method is to employ distribution splitting to define retarded and advanced propagators....
The quantum harmonic oscillator (QHO) is one of the most important quantum systems. It appears in nonrelativistic physical scenarios, such as the vibrational modes of diatomic molecules but also in relativistic quantum field theory when one quantizes the electromagnetic field. Due to its importance, it is natural to seek relativistic corrections to the QHO. One of the most straightforward...
Ideas like anti-de Sitter/conformal field theory correspondence and the membrane paradigm have illuminated many aspects of string and field theory, giving insights into field ranging from quantum gravity to condensed matter. In essence, these ideas are a statement of the holographic principle: the observation that all of the information contained in a bulk region of space-time can be encoded...
The modular S matrix is fundamental in any rational conformal field theory, including the Wess-Zumino-Witten (WZW) models. A strong similarity was noticed by the authors between the WZW modular S matrix, or affine S matrix, and certain discretized orbit functions. New properties of the orbit functions were found, mimicking the known characteristics of the affine S matrix. After reviewing...
Abstract:
We analyze the spectrum of the Hamiltonian of a photon propagating in a strong magnetic field $B\sim B_{\rm{cr}}$, where $B_{\rm cr}= \frac{m^2}{e} \simeq 4.4 \times 10^{13}$ Gauss is the Schwinger critical field .
We show that the expected value of the Hamiltonian of a quantized photon for a perpendicular mode is a concave function of the magnetic field $B$. We show by a partially...
