<i>Methods of Quantum Field Theory in Statistical Physics</i>

Абрикосов, А. А.; Gor’kov, L. P.; Dzyaloshinski, I. E.; Silverman, Richard A.; Weiss, George H.

doi:10.1063/1.3051555

Cited by 2,638 publications

(4,712 citation statements)

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“…The diagram rules for calculating the contributions to g(ω) can be found in several text books (see for example Refs. [2,3,6]). In general, the expansion will contain diagrams that describe all the possible ways in which the unperturbed sp propagator interacts with particle and hole excitations inside the system.…”

Section: Equation Of Motion Methods and Dyson Equationmentioning

confidence: 99%

“…3. The one-body (sp) propagator (or two-point Green's function) associated with the state |Ψ A 0 embodies this information and is defined according to [2] - [6] …”

Section: Formal Development 21 Single-particle Green's Functionmentioning

confidence: 99%

“…This method is most intimately connected to quantum field theory since it corresponds to the nonrelativistic implementation of this approach to the many-body problem. While the propagator or Green's function method was the most important tool in the formal development of many-body theory [2] - [6], only in the last ten years has it been applied to many-body problems beyond its meanfield implementation (the Hartree-Fock approximation). Examples of such applications have appeared in atomic [7] and condensed matter physics [8].…”

Section: Introductionmentioning

confidence: 99%

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Self-consistent Green's function method for nuclei and nuclear matter

Dickhoff

Barbieri

2004

Progress in Particle and Nuclear Physics

493

599

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Recent results obtained by applying the method of self-consistent Green's functions to nuclei and nuclear matter are reviewed. Particular attention is given to the description of experimental data obtained from the (e,e ′ p) and (e,e ′ 2N) reactions that determine one and two-nucleon removal probabilities in nuclei since the corresponding amplitudes are directly related to the imaginary parts of the single-particle and two-particle propagators. For this reason and the fact that these amplitudes can now be calculated with the inclusion of all the relevant physical processes, it is useful to explore the efficacy of the method of self-consistent Green's functions in describing these experimental data. Results for both finite nuclei and nuclear matter are discussed with particular emphasis on clarifying the role of short-range correlations in determining various experimental quantities. The important role of long-range correlations in determining the structure of lowenergy correlations is also documented. For a complete understanding of nuclear phenomena it is therefore essential to include both types of physical correlations. We demonstrate that recent experimental results for these reactions combined with the reported theoretical calculations yield a very clear understanding of the properties of all protons in the nucleus. We propose that this knowledge of the properties of constituent fermions in a correlated many-body system is a unique feature of nuclear physics.

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Section: Equation Of Motion Methods and Dyson Equationmentioning

confidence: 99%

“…3. The one-body (sp) propagator (or two-point Green's function) associated with the state |Ψ A 0 embodies this information and is defined according to [2] - [6] …”

Section: Formal Development 21 Single-particle Green's Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Self-consistent Green's function method for nuclei and nuclear matter

Dickhoff

Barbieri

2004

Progress in Particle and Nuclear Physics

493

599

View full text Add to dashboard Cite

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“…BCS theory also stimulated efforts to develop theoretical frameworks to describe the phenomenon of SC, and the outcomes were the fundamental Gorkov's theory of the SC state involving normal and anomalous Green's functions [17], and the controlled Eliashberg theory [18,14,19] of superconductivity, which goes beyond the BCS theory and includes fermionic self-energy and the dynamical part of the pairing interaction.…”

Section: Introductionmentioning

confidence: 99%

Superconductivity from repulsive interaction

Maiti¹,

Chubukov²

2014

Novel Superfluids

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Abstract. The BCS theory of superconductivity named electron-phonon interaction as a glue that overcomes Coulomb repulsion and binds fermions into pairs which then condense and super-conduct. We review recent and not so recent works aiming to understand whether a nominally repulsive Coulomb interaction can by itself give rise to a superconductivity. We first discuss a generic scenario of the pairing by electron-electron interaction, put forward by Kohn and Luttinger back in 1965, and then turn to modern studies of the electronic mechanism of superconductivity in the lattice models for the cuprates, the Fe-pnictides, and the doped graphene. We show that the pairing in all three classes of materials can be viewed as lattice version of Kohn-Luttinger physics, despite that the pairing symmetries are different. We discuss under what conditions the pairing occurs and rationalize the need to do parquet renormalization-group analysis. We also discuss the interplay between superconductivity and density-wave instabilities.

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“…The plasmon modes can be determined as poles of the DysonÕs equation for Coulomb potential, which has a form [13]:…”

Section: Theoretical Backgroundmentioning

confidence: 99%