Effective Field

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U. Van Kolck - One of the best experts on this subject based on the ideXlab platform.

David B. Kaplan - One of the best experts on this subject based on the ideXlab platform.

  • Effective Field theory for nuclear physics
    Nuclear Physics, 2000
    Co-Authors: David B. Kaplan
    Abstract:

    I summarize the motivation for the Effective Field theory approach to nuclear physics, and some of its recent accomplishments. 1 Why Effective Field theory, why nuclear physics? Low energy data is generally insensitive to the details of interactions at short distance. It is therefore difficult to learn about short rangeinteractions; yet by the same token, complete knowledge of the physics at short distances is not required for an accurate understanding of experiments. Effective Field theory exploits this fact. The effects of nonlocal interactions at short distance may be represented in terms of local operators in a derivative expansion — the Effective Lagrangian. The higher an operator’s dimension, the smaller the effect it has on low energy physics, and hence one can obtain a useful phenomenological theory by retaining operators only up to some dimension, fitting their coefficients to data. Some Effective theories arequite useful, such as chiral perturbation theory; some are wildly successful, such as the standard model of particle physics. In this talk I will discuss a new application currently being developed, nuclear Effective theory. The utility of Effective Field theory (EFT) depends on the existence of an energy gap so that “short” and “long” distance physics can be distinguished. It is probably not a useful technique for describing turbulence, or protein folding, for example. In 1990, Weinberg suggested that nuclear physics could be a subject that would benefit from an EFT treatment 1 . In nucleon-nucleon interactions, one can identify the low scales to be m� = 140 MeV, and the nucleon momentum (pF ≃ 280 MeV in nuclear matter), while the high scales

  • Long and short of nuclear Effective Field theory expansions
    Physical Review C, 1999
    Co-Authors: David B. Kaplan, James V. Steele
    Abstract:

    Nonperturbative Effective Field theory calculations for NN scattering seem to break down at rather low momenta. By examining several toy models, we clarify how Effective Field theory expansions can in general be used to properly separate long- and short-range effects. We find that one-pion exchange has a large effect on the scattering phase shift near poles in the amplitude, but otherwise can be treated perturbatively. Analysis of a toy model that reproduces {sup 1}S{sub 0} NN scattering data rather well suggests that failures of Effective Field theories for momenta above the pion mass can be due to short-range physics rather than the treatment of pion exchange. We discuss the implications this has for extending the applicability of Effective Field theories. (c) 1999 The American Physical Society.

  • Effective Field theory for nuclear physics
    arXiv: Nuclear Theory, 1999
    Co-Authors: David B. Kaplan
    Abstract:

    I summarize the motivation for the Effective Field theory approach to nuclear physics, and highlight some of its recent accomplishments. The results are compared with those computed in potential models.

  • More Effective Field theory for non-relativistic scattering
    Nuclear Physics B, 1997
    Co-Authors: David B. Kaplan
    Abstract:

    An Effective Field theory treatment of nucleon-nucleon scattering at low energy shows much promise and could prove to be a useful tool in the study of nuclear matter at both ordinary and extreme densities. The analysis is complicated by the existence a large length scale - the scattering length — which arises due to couplings in the short distance theory being near critical values. I show how this can be dealt with by introducing an explicit s-channel state in the Effective Field theory. The procedure is worked out analytically in a toy example. I then demonstrate that a simple Effective Field theory excellently reproduces the 1S0 np phase shift up to the pion production threshold.

  • Effective Field Theories
    arXiv: Nuclear Theory, 1995
    Co-Authors: David B. Kaplan
    Abstract:

    Three lectures on Effective Field theory given at the Seventh Summer School in Nuclear Physics, Seattle June 19-30 1995.

M.j. Savage - One of the best experts on this subject based on the ideXlab platform.

Savdeep Sethi - One of the best experts on this subject based on the ideXlab platform.

  • Global Anomalies and Effective Field Theory
    Journal of High Energy Physics, 2016
    Co-Authors: Siavash Golkar, Savdeep Sethi
    Abstract:

    We show that matching anomalies under large gauge transformations and large diffeomorphisms can explain the appearance and non-renormalization of couplings in Effective Field theory. We focus on thermal Effective Field theory, where we argue that the appearance of certain unusual Chern-Simons couplings is a consequence of global anomalies. As an example, we show that a mixed global anomaly in four dimensions fixes the chiral vortical effect coefficient (up to an overall additive factor). This is an experimentally measurable prediction from a global anomaly. For certain situations, we propose a simpler method for calculating global anomalies which uses correlation functions rather than eta invariants.

  • Global Anomalies and Effective Field Theory
    arXiv: High Energy Physics - Theory, 2015
    Co-Authors: Siavash Golkar, Savdeep Sethi
    Abstract:

    We show that matching anomalies under large gauge transformations and large diffeomorphisms can explain the appearance and non-renormalization of couplings in Effective Field theory. We focus on thermal Effective Field theory where we argue that the appearance of certain unusual Chern-Simons couplings is a consequence of global anomalies. As an example, we show that a mixed global anomaly in four dimensions fixes the chiral vortical effect coefficient. This is an experimentally measurable prediction from a global anomaly. For certain situations, we propose a simpler method for calculating global anomalies which uses correlation functions rather than eta invariants.

Paulo F. Bedaque - One of the best experts on this subject based on the ideXlab platform.

  • Narrow resonances in Effective Field theory
    Physics Letters B, 2003
    Co-Authors: Paulo F. Bedaque, Hans-werner Hammer, U. Van Kolck
    Abstract:

    We discuss the power counting for Effective Field theories with narrow resonances near a two-body threshold. Close to threshold, the Effective Field theory is perturbative and only one combination of coupling constants is fine-tuned. In the vicinity of the resonance, a second, “kinematic” fine-tuning requires a nonperturbative resummation. We illustrate our results in the case of nucleon-alpha scattering.

  • Narrow resonances in Effective Field theory
    Physics Letters B, 2003
    Co-Authors: Paulo F. Bedaque, Hans-werner Hammer, U. Van Kolck
    Abstract:

    We discuss the power counting for Effective Field theories with narrow resonances near a two-body threshold. Close to threshold, the Effective Field theory is perturbative and only one combination of coupling constants is fine-tuned. In the vicinity of the resonance, a second, ``kinematic'' fine-tuning requires a nonperturbative resummation. We illustrate our results in the case of nucleon-alpha scattering.Comment: 11 pages, revtex4, 3 ps figure