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https://biblio.ugent.be/publication/685594/file/1130605.pdf

Review of Particle Physics

This paper reviews recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling descriptions, such as the Mott-Hubbard transition in optical lattices, strongly interacting gases in one and two dimensions, or lowest-Landau-level physics in quasi-two-dimensional gases in fast rotation. Strong correlations in fermionic gases are discussed in optical lattices or near-Feshbach resonances in the BCS-BEC crossover.

/pdf/many-body-physics-with-ultracold-gases-552s10zfdn.pdf

Many-Body Physics with Ultracold Gases

http://www.back-in-business-physiotherapy.com/images/files/DescendingControl.pdf

Descending control of pain.

Thermosensitive sol-gel reversible hydrogels.

The splitting processes of bremsstrahlung and pair production in a medium are coherent over large distances in the very high energy limit, which leads to a suppression known as the Landau-Pomeranchuk-Migdal (LPM) eect. Of recent interest is the case when the coherence lengths of two consecutive splitting processes overlap (which is im- portant for understanding corrections to standard treatments of the LPM eect in QCD). In previous papers, we have developed methods for computing such corrections without making soft-gluon approximations. However, our methods require consistent treatment of canceling ultraviolet (UV) divergences associated with coincident emission times, even for processes with tree-level amplitudes. In this paper, we show how to use dimensional reg- ularization to properly handle the UV contributions. We also present a simple diagnostic test that any consistent UV regularization method for this problem needs to pass.

/pdf/the-lpm-effect-in-sequential-bremsstrahlung-dimensional-3ufg3aip7j.pdf

The LPM effect in sequential bremsstrahlung: dimensional regularization

The splitting processes of bremsstrahlung and pair production in a medium are coherent over large distances in the very high energy limit, which leads to a suppression known as the Landau-Pomeranchuk-Migdal (LPM) effect. We continue study of the case when the coherence lengths of two consecutive splitting processes overlap (which is important for understanding corrections to standard treatments of the LPM effect in QCD), avoiding soft-emission approximations. Previous work has computed overlap effects for double splitting $g \to gg \to ggg$. To make use of those results, one also needs calculations of related virtual loop corrections to single splitting $g \to gg$ in order to cancel severe (power-law) infrared (IR) divergences. This paper provides calculations of nearly all such processes involving gluons and discusses how to organize the results to demonstrate the cancellation. In the soft emission limit, our results reproduce the known double-log behavior of earlier authors who worked in leading-log approximation. We also present a first (albeit numerical and not yet analytic) investigation of sub-leading, single IR logarithms. Ultraviolet divergences appearing in our calculations correctly renormalize the coupling $\alpha_{\rm s}$ in the usual LPM result for leading-order $g \to gg$.

/pdf/the-lpm-effect-in-sequential-bremsstrahlung-nearly-complete-3rg54xz398.pdf

The LPM effect in sequential bremsstrahlung: nearly complete results for QCD

A proper sequence of effective theories, corresponding to larger and larger distance scales, is crucial for analyzing real-time equilibrium physics in hot non-Abelian plasmas. For the study of color dynamics (by which I mean physics involving long wavelength gauge fluctuations), an important stepping stone in the sequence of effective theories is to have a good effective theory for dynamics with wave number k well below the Debye screening mass. I review how such dynamics is associated with inverse time scales $\ensuremath{\omega}\ensuremath{\ll}k.$ I then give a compact way to package, in the $\ensuremath{\omega}\ensuremath{\ll}k$ limit, B\"odeker's description of $k\ensuremath{\ll}m$ physics, which was in terms of Vlasov equations with collision terms. Finally, I show how the resulting effective theory can be reformulated as a path integral.

Effective theory for ω ≪ k ≪ gT color dynamics in hot non-Abelian plasmas

In previous work, we and others have put together a full computation of $\frac{d\ensuremath{\sigma}}{d{q}_{T}}$ for the inclusive production of high-transverse-momentum $W'\mathrm{s}$ and $Z'\mathrm{s}$ to second order in QCD. Here, we present the results in graphs from which relevant cross sections may be extracted at a glance. Specifically, we plot $\frac{d\ensuremath{\sigma}}{d{q}_{T}}$ and $\ensuremath{\int}{{q}_{T}}^{}d{q}_{T}(\frac{d\ensuremath{\sigma}}{d{q}_{T}})$ for the Fermilab Tevatron.

High- p T W and Z production at the Fermilab Tevatron

The leading contribution of the gauge propagator to the inclusive baryon-number-violating cross-section in electroweak theory is calculated using the Levine–Yaffe propagator in the instanton background. The result resolves a current discrepancy between two calculational approaches to high energy baryon number violation, the "valley method" and the "R-term method".

Peter Arnold

Papers

The LPM effect in sequential bremsstrahlung: dimensional regularization

The LPM effect in sequential bremsstrahlung: nearly complete results for QCD

Effective theory for ω ≪ k ≪ gT color dynamics in hot non-Abelian plasmas

High- p T W and Z production at the Fermilab Tevatron

Gauge propagator contribution to high energy baryon number violation