scholarly journals Finite-size effects in heavy halo nuclei from effective field theory

2020 ◽  
Vol 56 (1) ◽  
Author(s):  
E. Ryberg ◽  
C. Forssén ◽  
D. R. Phillips ◽  
U. van Kolck
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Size Effects ◽  
Finite Size ◽  
Effective Field ◽  
Halo Nuclei ◽  
Finite Size Effects

scholarly journals Spin effects in the effective field theory approach to Post-Minkowskian conservative dynamics

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Zhengwen Liu ◽  
Rafael A. Porto ◽  
Zixin Yang
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Scattering Problem ◽  
Finite Size ◽  
Effective Field ◽  
Compact Objects ◽  
Scattering Data ◽  
Theory Approach ◽  
Spin Effects ◽  
Radial Action

Abstract Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a manifestly covariant framework. We introduce a systematic procedure to compute the total change in momentum and spin in the gravitational scattering of compact objects. For the special case of spins aligned with the orbital angular momentum, we show how to construct the radial action for elliptic-like orbits using the Boundary-to-Bound correspondence. As a paradigmatic example, we solve the scattering problem to next-to-leading PM order with linear and bilinear spin effects and arbitrary initial conditions, incorporating for the first time finite-size corrections. We obtain the aligned-spin radial action from the resulting scattering data, and derive the periastron advance and binding energy for circular orbits. We also provide the (square of the) center-of-mass momentum to $$ \mathcal{O}\left({G}^2\right) $$ O G 2 , which may be used to reconstruct a Hamiltonian. Our results are in perfect agreement with the existent literature, while at the same time extend the knowledge of the PM dynamics of compact binaries at quadratic order in spins.

scholarly journals Three-body systems in physics of cold atoms and halo nuclei

2016 ◽  
Vol 25 (05) ◽  
pp. 1641003 ◽  
Author(s):  
Chen Ji
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Cold Atoms ◽  
Effective Field ◽  
Low Energy ◽  
Halo Nuclei ◽  
Particle Interactions ◽  
Body Contact ◽  
Low Energies ◽  
Three Body

Few-body systems, such as cold atoms and halo nuclei, share universal features at low energies, which are insensitive to the underlying inter-particle interactions at short ranges. These low-energy properties can be investigated in the framework of effective field theory with two-body and three-body contact interactions. I review the effective-field-theory studies of universal physics in three-body systems, focusing on the application in cold atoms and halo nuclei.

scholarly journals Effective field theory for halo nuclei: shallow -wave states

2002 ◽  
Vol 712 (1-2) ◽  
pp. 37-58 ◽  
Author(s):  
C.A. Bertulani ◽  
H.-W. Hammer ◽  
U. van Kolck
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Halo Nuclei ◽  
Wave States

scholarly journals Analytic theory of finite-size effects in supercell modeling of charged interfaces

2019 ◽  
Vol 21 (27) ◽  
pp. 14858-14864 ◽  
Author(s):  
Cong Pan ◽  
Shasha Yi ◽  
Zhonghan Hu
Keyword(s):  
Field Theory ◽  
Size Effects ◽  
Mean Field Theory ◽  
Mean Field ◽  
Finite Size ◽  
Analytic Theory ◽  
Finite Size Effects ◽  
Nonlinear Responses

Complex nonlinear responses of fluids to charge walls are predicted by mean-field theory.

scholarly journals Lattice φ4 Theory of Finite-Size Effects Above the Upper Critical Dimension

1998 ◽  
Vol 09 (07) ◽  
pp. 1073-1105 ◽  
Author(s):  
X. S. Chen ◽  
V. Dohm
Keyword(s):  
Field Theory ◽  
Lattice Model ◽  
Size Effects ◽  
Lattice Theory ◽  
Finite Size ◽  
Model Parameters ◽  
Scaling Functions ◽  
Finite Size Scaling ◽  
Finite Size Effects ◽  
Size Scaling

We present a perturbative calculation of finite-size effects near Tc of the φ4 lattice model in a d-dimensional cubic geometry of size L with periodic boundary conditions for d>4. The structural differences between the φ4 lattice theory and the φ4 field theory found previously in the spherical limit are shown to exist also for a finite number of components of the order parameter. The two-variable finite-size scaling functions of the field theory are nonuniversal whereas those of the lattice theory are independent of the nonuniversal model parameters. One-loop results for finite-size scaling functions are derived. Their structure disagrees with the single-variable scaling form of the lowest-mode approximation for any finite ξ/L where ξ is the bulk correlation length. At Tc, the large-L behavior becomes lowest-mode like for the lattice model but not for the field-theoretic model. Characteristic temperatures close to Tc of the lattice model, such as T max (L) of the maximum of the susceptibility χ, are found to scale asymptotically as Tc-T max (L) ~L-d/2, in agreement with previous Monte Carlo (MC) data for the five-dimensional Ising model. We also predict χ max ~Ld/2 asymptotically. On a quantitative level, the asymptotic amplitudes of this large-L behavior close to Tc have not been observed in previous MC simulations at d=5 because of nonnegligible finite-size terms ~L(4-d)/2 caused by the inhomogeneous modes. These terms identify the possible origin of a significant discrepancy between the lowest-mode approximation and previous MC data. MC data of larger systems would be desirable for testing the magnitude of the L(4-d)/2 and L4-d terms predicted by our theory.

Field theory of finite-size effects in Ising-like systems

1995 ◽  
Vol 97 (2) ◽  
pp. 205-211 ◽  
Author(s):  
A. Esser ◽  
V. Dohm ◽  
M. Hermes ◽  
J. S. Wang
Keyword(s):  
Field Theory ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects
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