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The spectral relations for the four-time fermionic Green's functions are derived in the most general case. The terms which correspond to the zero-frequency anomalies, known before only for the bosonic Green's functions, are separated and…

Statistical Mechanics · Physics 2017-02-13 A. M. Shvaika

The Fermi surface is an abstract object in the reciprocal space of a crystal lattice, enclosing the set of all those electronic band states that are filled according to the Pauli principle. Its topology is dictated by the underlying lattice…

Strongly Correlated Electrons · Physics 2016-07-20 Mukunda P. Das , Frederick Green

Many model quantum spin systems have been proposed to realize critical points or phases described by 2+1 dimensional conformal gauge theories. On a torus of size $L$ and modular parameter $\tau$, the energy levels of such gauge theories…

Strongly Correlated Electrons · Physics 2017-05-31 Alex Thomson , Subir Sachdev

A systematic field theoretic formalism for treating Fermionic resonances with non zero width is given. The implication of unitarity to coupling constants of non local interactions is shown. The extension of the formalism to Bosonic…

Nuclear Theory · Physics 2011-03-17 F. Kleefeld

We consider dephasing by interactions in a one-dimensional chiral fermion system (e.g. a Quantum Hall edge state). For finite-range interactions, we calculate the spatial decay of the Green's function at fixed energy, which sets the…

Mesoscale and Nanoscale Physics · Physics 2009-03-17 Clemens Neuenhahn , Florian Marquardt

This work is a continuation of our recent study of non-relativistic charged particles, confined to a sphere enclosing a magnetic dipole at its center. In this sequel, we extend our computations in two significant ways. The first is to a…

High Energy Physics - Theory · Physics 2021-10-27 Jeff Murugan , Jonathan P. Shock , Ruach Pillay Slayen

We study 2D fermions with a short-range interaction in the presence of a van Hove singularity. It is shown that this system can be consistently described by an effective field theory whose Fermi surface is subdivided into regions as defined…

Strongly Correlated Electrons · Physics 2018-08-09 Anton Kapustin , Tristan McKinney , Ira Z. Rothstein

Radio-frequency techniques were used to study ultracold fermions. We observed the absence of mean-field "clock" shifts, the dominant source of systematic error in current atomic clocks based on bosonic atoms. This is a direct consequence of…

We present the calculation of the spectral function of an unstable scalar boson coupled to fermions as resulting from the resummation of the one loop diagrams in the scalar particle self energy. We work with a large but finite high-energy…

High Energy Physics - Phenomenology · Physics 2013-08-27 Francesco Giacosa , Giuseppe Pagliara

We investigate a density-functional theory (DFT) approach for an unpolarized trapped dilute Fermi gas in the unitary limit . A reformulation of the recent work of T. Papenbrock [Phys. Rev. A, {\bf 72}, 041602(R) (2005)] in the language of…

Other Condensed Matter · Physics 2009-11-11 Brandon P. van Zyl , D. A. W. Hutchinson , Melodie Need

Demanding a consistent quantum field theory description of spin 1/2 particles near a circular Fermi surface in 2d leads to a unique fermionic theory with relevant quartic interactions which has an emergent Lorentz symmetry and automatically…

Strongly Correlated Electrons · Physics 2009-09-29 Eliot Kapit , André LeClair

We study the spectral function of interacting one-dimensional fermions for an integrable lattice model away from half-filling. The divergent power-law singularity of the spectral function near the single-particle or single-hole energy is…

Strongly Correlated Electrons · Physics 2009-04-24 Rodrigo G. Pereira , Steven R. White , Ian Affleck

We introduce Fermi Sets, a universal and physically interpretable neural architecture for fermionic many-body wavefunctions. Building on a ``parity-graded'' representation [1], we prove that any continuous fermionic wavefunction on a…

Strongly Correlated Electrons · Physics 2026-04-21 Liang Fu

We develop a general theory of Fermi polarons at nonzero temperature, including particle-hole excitations of the Fermi sea shake-up to arbitrarily high orders. The exact set of equations of the spectral function is derived by using both…

Quantum Gases · Physics 2024-08-21 Hui Hu , Jia Wang , Xia-Ji Liu

A density functional theory (DFT) of lattice fermion models is presented, which uses the single-particle density matrix gamma_{ij} as basic variable. A simple, explicit approximation to the interaction-energy functional W[gamma] of the…

Strongly Correlated Electrons · Physics 2009-11-07 R. Lopez-Sandoval , G. M. Pastor

We apply the general principles of effective field theories to the construction of effective interactions suitable for few- and many-body calculations in a no-core shell model framework. We calculate the spectrum of systems with three and…

Other Condensed Matter · Physics 2008-11-26 I. Stetcu , B. R. Barrett , U. van Kolck , J. P. Vary

Following the set up in arXiv:1408.3393, we study 4d N=1 superconformal field theories in conic spaces. We show that the universal part of supersymmetric R\'enyi entropy S_q across a spherical entangling surface in the limit q goes to 0 is…

High Energy Physics - Theory · Physics 2015-08-14 Yang Zhou

An exact renormalization group for theories of a scalar chiral superfield is formulated, directly in four dimensional Euclidean space. By constructing a projector which isolates the superpotential from the full Wilsonian effective action,…

High Energy Physics - Theory · Physics 2015-03-13 Oliver J. Rosten

We show that the universal $1/k^4$ tail in the momentum distribution of dilute Fermi gases implies that the spectral function $A(\kk,\omega)$ must have weight below the chemical potential for large momentum $k \gg k_F$, with observable…

Quantum Gases · Physics 2010-02-05 William Schneider , Mohit Randeria

We present first results on the calculation of fermionic spectral functions from analytically continued flow equations within the Functional Renormalization Group approach. Our method is based on the same analytic continuation from…

High Energy Physics - Phenomenology · Physics 2018-11-14 Ralf-Arno Tripolt , Johannes Weyrich , Lorenz von Smekal , Jochen Wambach
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