منابع مشابه
Exact bosonization for an interacting fermi gas in arbitrary dimensions.
We present an exact mapping of models of interacting fermions onto boson models. The bosons correspond to collective excitations in the initial fermionic models. This bosonization is applicable in any dimension and for any interaction between fermions. Introducing superfields, we derive a field theory that may serve as a new way of analytical study. We show schematically how the mapping can be ...
متن کاملComment on "Exact bosonization for an interacting fermi gas in arbitrary dimensions".
In a recent Letter [1], Efetov et al. propose an exact mapping of an interacting fermion system onto a new model that is supposed to allow sign-problem-free Monte Carlo simulations. In this Comment, we show that their formalism is equivalent to the standard approach of Blackenbecker, Scalapino, and Sugar (BSS) [2] for fermi-onic systems and has the same sign statistics and minus sign problem. O...
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We discuss the nature of phase transitions in the self-gravitating Fermi gas at non-zero temperature. This study can be relevant for massive neutrinos in Dark Matter models and for collisionless self-gravitating systems experiencing a “violent relaxation”. Below a critical energy (in the microcanonical ensemble) or below a critical temperature (in the canonical ensemble), the system undergoes a...
متن کاملKondo screening in a magnetically frustrated nanostructure: exact results on a stable non-fermi-liquid phase.
Triangular symmetry stabilizes a novel non-Fermi-liquid phase in the three-impurity Kondo model with frustrating antiferromagnetic interactions between half-integer impurity spins. The phase arises without fine-tuning of couplings, and is stable against magnetic fields and particle-hole symmetry breaking. We find a conformal field theory describing this phase, verify it using the numerical reno...
متن کاملExact relations for a strongly interacting fermi gas from the operator product expansion.
The momentum distribution in a Fermi gas with two spin states and a large scattering length has a tail that falls off like 1/k4 at large momentum k, as pointed out by Tan. He used novel methods to derive exact relations between the coefficient of the tail in the momentum distribution and various other properties of the system. We present simple derivations of these relations using the operator ...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2012
ISSN: 1029-8479
DOI: 10.1007/jhep10(2012)020