Yazar "Polyzou, W. N." seçeneğine göre listele

Listeleniyor 1 - 3 / 3
  • Küçük Resim Yok
    Öğe
    Multi-scale Methods in Quantum Field Theory
    (Springer Wien, 2018) Polyzou, W. N.; Michlin, Tracie; Bulut, Fatih
    Daubechies wavelets are used to make an exact multi-scale decomposition of quantum fields. For reactions that involve a finite energy that take place in a finite volume, the number of relevant quantum mechanical degrees of freedom is finite. The wavelet decomposition has natural resolution and volume truncations that can be used to isolate the relevant degrees of freedom. The application of flow equation methods to construct effective theories that decouple coarse and fine scale degrees of freedom is examined.
  • Küçük Resim Yok
    Öğe
    Multiresolution decomposition of quantum field theories using wavelet bases
    (Amer Physical Soc, 2017) Michlin, Tracie; Polyzou, W. N.; Bulut, Fatih
    We investigate both the theoretical and computational aspects of using wavelet bases to perform an exact decomposition of a local field theory by spatial resolution. The decomposition admits natural volume and resolution truncations. We demonstrate that flow equation methods can be used to eliminate short-distance degrees of freedom in truncated theories. The method is tested on a free scalar field in one dimension, where the spatial derivatives couple the degrees of freedom on different scales, although the method is applicable to more complex field theories. The flow equation method is shown to decouple both distance and energy scales in this example. The response to changing the volume and resolution cutoffs and the mass is discussed.
  • Küçük Resim Yok
    Öğe
    Wavelets in field theory
    (Amer Physical Soc, 2013) Bulut, Fatih; Polyzou, W. N.
    We advocate the use of Daubechies wavelets as a basis for treating a variety of problems in quantum field theory. This basis has both natural large-volume and short-distance cutoffs, has natural partitions of unity, and the basis functions are all related to the fixed point of a linear renormalization group equation.