Magnetic catalysis and inverse catalysis for heavy pions

Magnetic Catalysis in Quantum Electrodynamics

We derive the (Wilsonian) low energy effective Lagrangian for Quantum Electrodynamics under external constant magnetic field by integrating out all electrons except those in the lowest Landau level. We find the one-loop effective Lagrangian contains a marginal four-Fermi interaction with anomalous dimension, (ln 2) 2 2π e 4. Renormalization group analysis shows that the four-Fermi interaction w...

Understanding zeolite catalysis: inverse shape selectivity revised.

Anyone who has experience in moving house [the Angewandte team has just done this!] knows that those boxes filled with small books are the heaviest, because these small objects pack so easily. The same entropy effect explains the catalytic selectivity towards the formation of branched hydrocarbons in zeolites. The pink tubes represent the zeolite pores at high loading in which effective size di...

Homogeneous Catalysis Homogeneous Catalysis

Spatially Assisted Schwinger Mechanism and Magnetic Catalysis.

Using the worldline formalism we compute an effective action for fermions under a temporally modulated electric field and a spatially modulated magnetic field. It is known that the former leads to an enhanced Schwinger mechanism, while we find that the latter can also result in enhanced particle production and even cause a reorganization of the vacuum to acquire a larger dynamical mass in equil...

Geometrically induced magnetic catalysis and critical dimensions.

We discuss the combined effect of magnetic fields and geometry in interacting fermionic systems. At leading order in the heat-kernel expansion, the infrared singularity (that in flat space leads to the magnetic catalysis) is regulated by the chiral gap effect, and the catalysis is deactivated by the effect of the scalar curvature. We discover that an infrared singularity is found in higher-orde...