Multiresolution decomposition of quantum field theories using wavelet bases

Michlin, Tracie; Polyzou, W. N.; Bulut, Fatih

doi:10.1103/physrevd.95.094501

Title: Multiresolution decomposition of quantum field theories using wavelet bases

Journal Article · Mon May 01 00:00:00 EDT 2017 · Physical Review D

DOI:https://doi.org/10.1103/physrevd.95.094501· OSTI ID:1536286

Michlin, Tracie; Polyzou, W. N.; Bulut, Fatih

Not provided.

Cite

Export

Save

Research Organization:: Univ. of Iowa, Iowa City, IA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0016457

OSTI ID:: 1536286

Journal Information:: Physical Review D, Vol. 95, Issue 9; ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

References (34)

A New Formulation and Regularization of Gauge Theories Using a Non-Linear Wavelet Expansion Federbush, P. Progress of Theoretical Physics, Vol. 94, Issue 6 https://doi.org/10.1143/PTP.94.1135	journal	December 1995
Simulation of field theories in wavelet representation Halliday, I. G.; Suranyi, P. Nuclear Physics B, Vol. 436, Issue 1-2 https://doi.org/10.1016/0550-3213(94)00443-I	journal	February 1995
Wavelet-induced renormalization group for the Landau-Ginzburg model Best, C. Nuclear Physics B - Proceedings Supplements, Vol. 83-84 https://doi.org/10.1016/S0920-5632(00)91823-1	journal	April 2000
Multiresolution analysis in statistical mechanics. I. Using wavelets to calculate thermodynamic properties Ismail, Ahmed E.; Rutledge, Gregory C.; Stephanopoulos, George The Journal of Chemical Physics, Vol. 118, Issue 10 https://doi.org/10.1063/1.1543581	journal	March 2003
Multiresolution analysis in statistical mechanics. II. The wavelet transform as a basis for Monte Carlo simulations on lattices Ismail, Ahmed E.; Stephanopoulos, George; Rutledge, Gregory C. The Journal of Chemical Physics, Vol. 118, Issue 10 https://doi.org/10.1063/1.1543582	journal	March 2003
Wavelet-Based Quantum Field Theory Altaisky, Mikhail V. Symmetry, Integrability and Geometry: Methods and Applications https://doi.org/10.3842/SIGMA.2007.105	journal	November 2007
Quantum field theory without divergences Altaisky, M. V. Physical Review D, Vol. 81, Issue 12 https://doi.org/10.1103/PhysRevD.81.125003	journal	June 2010
Wavelets in field theory Bulut, Fatih; Polyzou, W. N. Physical Review D, Vol. 87, Issue 11 https://doi.org/10.1103/PhysRevD.87.116011	journal	June 2013
Continuous wavelet transform in quantum field theory Altaisky, M. V.; Kaputkina, N. E. Physical Review D, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevD.88.025015	journal	July 2013
On the wavelet decomposition in light cone variables Altaiskii, M. V.; Kaputkina, N. E. Russian Physics Journal, Vol. 55, Issue 10 https://doi.org/10.1007/s11182-013-9940-8	journal	March 2013
Wavelet Methods in Field Theory: Wavelets in Field Theory Polyzou, Wayne; Bulut, Fatih Few-Body Systems, Vol. 55, Issue 5-7 https://doi.org/10.1007/s00601-013-0735-9	journal	November 2013
Multiscale quantum simulation of quantum field theory using wavelets Brennen, Gavin K.; Rohde, Peter; Sanders, Barry C. Physical Review A, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevA.92.032315	journal	September 2015
Unifying renormalization group and the continuous wavelet transform Altaisky, M. V. Physical Review D, Vol. 93, Issue 10 https://doi.org/10.1103/PhysRevD.93.105043	journal	May 2016
On Quantization in Light-cone Variables Compatible with Wavelet Transform Altaisky, M. V.; Kaputkina, N. E. International Journal of Theoretical Physics, Vol. 55, Issue 6 https://doi.org/10.1007/s10773-015-2913-7	journal	January 2016
Entanglement Renormalization and Wavelets Evenbly, Glen; White, Steven R. Physical Review Letters, Vol. 116, Issue 14 https://doi.org/10.1103/PhysRevLett.116.140403	journal	April 2016
Orthonormal bases of compactly supported wavelets Daubechies, Ingrid Communications on Pure and Applied Mathematics, Vol. 41, Issue 7 https://doi.org/10.1002/cpa.3160410705	journal	October 1988
Ten Lectures on Wavelets Daubechies, Ingrid CBMS-NSF Regional Conference Series in Applied Mathematics https://doi.org/10.1137/1.9781611970104	book	January 1992
On the Representation of Operators in Bases of Compactly Supported Wavelets Beylkin, G. SIAM Journal on Numerical Analysis, Vol. 29, Issue 6 https://doi.org/10.1137/0729097	journal	December 1992
Wavelets, their autocorrelation functions, and multiresolution representations of signals Beylkin, Gregory; Saito, N. Applications in Optical Science and Engineering, SPIE Proceedings https://doi.org/10.1117/12.131585	conference	November 1992
Multiresolution representations using the autocorrelation functions of compactly supported wavelets Saito, N.; Beylkin, G. IEEE Transactions on Signal Processing, Vol. 41, Issue 12 https://doi.org/10.1109/78.258102	journal	January 1993
Scattering Calculations with Wavelets Kessler, B. M.; Payne, G. L.; Polyzou, W. N. Few-Body Systems, Vol. 33, Issue 1 https://doi.org/10.1007/s00601-003-0008-0	journal	August 2003
Application of wavelets to singular integral scattering equations Kessler, B. M.; Payne, G. L.; Polyzou, W. N. Physical Review C, Vol. 70, Issue 3 https://doi.org/10.1103/PhysRevC.70.034003	journal	September 2004
Wavelet methods in the relativistic three-body problem Bulut, Fatih; Polyzou, W. N. Physical Review C, Vol. 73, Issue 2 https://doi.org/10.1103/PhysRevC.73.024003	journal	February 2006
Relativistic theory of interacting particles Glöckle, W.; Müller, L. Physical Review C, Vol. 23, Issue 3 https://doi.org/10.1103/PhysRevC.23.1183	journal	March 1981
Diagonalization of Hamiltonian and Tamm-Dancoff Equation Ôkubo, Susumu Progress of Theoretical Physics, Vol. 12, Issue 5 https://doi.org/10.1143/PTP.12.603	journal	November 1954
Flow-equations for Hamiltonians Wegner, Franz Annalen der Physik, Vol. 506, Issue 2 https://doi.org/10.1002/andp.19945060203	journal	January 1994
Renormalization of Hamiltonians Głazek, Stanisław D.; Wilson, Kenneth G. Physical Review D, Vol. 48, Issue 12 https://doi.org/10.1103/PhysRevD.48.5863	journal	December 1993
Perturbative renormalization group for Hamiltonians Glazek, Stanislaw D.; Wilson, Kenneth G. Physical Review D, Vol. 49, Issue 8 https://doi.org/10.1103/PhysRevD.49.4214	journal	April 1994
A Renormalization Group Approach to Hamiltonian Light-Front Field Theory Perry, R. J. Annals of Physics, Vol. 232, Issue 1 https://doi.org/10.1006/aphy.1994.1052	journal	May 1994
Similarity renormalization group for nucleon-nucleon interactions Bogner, S. K.; Furnstahl, R. J.; Perry, R. J. Physical Review C, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevC.75.061001	journal	June 2007
Block diagonalization using similarity renormalization group flow equations Anderson, E.; Bogner, S. K.; Furnstahl, R. J. Physical Review C, Vol. 77, Issue 3 https://doi.org/10.1103/PhysRevC.77.037001	journal	March 2008
From low-momentum interactions to nuclear structure Bogner, S. K.; Furnstahl, R. J.; Schwenk, A. Progress in Particle and Nuclear Physics, Vol. 65, Issue 1 https://doi.org/10.1016/j.ppnp.2010.03.001	journal	July 2010
Linear Transformations in Hilbert Space: III. Operational Methods and Group Theory Stone, M. H. Proceedings of the National Academy of Sciences, Vol. 16, Issue 2 https://doi.org/10.1073/pnas.16.2.172	journal	February 1930
Die Eindeutigkeit der Schrödingerschen Operatoren v. Neumann, J. Mathematische Annalen, Vol. 104, Issue 1 https://doi.org/10.1007/BF01457956	journal	December 1931

Similar Records

Multiresolution decomposition of quantum field theories using wavelet bases

Journal Article · Mon May 01 00:00:00 EDT 2017 · Physical Review. D. · OSTI ID:1536286

Michlin, Tracie; Polyzou, W. N.; Bulut, Fatih

Wavelet representation of light-front quantum field theory

Journal Article · Mon May 11 00:00:00 EDT 2020 · Physical Review D · OSTI ID:1536286

Polyzou, W. N.

A Multiresolution Ensemble Kalman Filter using Wavelet Decomposition

Journal Article · Fri Feb 24 00:00:00 EST 2017 · Computational Geosciences · OSTI ID:1536286

Hickmann, Kyle S.; Godinez, Humberto C.

Related Subjects

Astronomy & Astrophysics
Physics

Title: Multiresolution decomposition of quantum field theories using wavelet bases

Citation Formats

References (34)

Similar Records

Related Subjects