Mollifying Quantum Field Theory or Lattice QFT in Minkowski Spacetime and Symmetry Breaking
نویسندگان
چکیده
This work develops and applies the concept of mollification in order to smooth out highly oscillatory exponentials. This idea, known for quite a while in the mathematical community (mollifiers are a means to smooth distributions), is new to numerical Quantum Field Theory. It is potentially very useful for calculating phase transitions (highly oscillatory integrands in general), for computations with imaginary chemical potentials and Lattice QFT in Minkowski spacetime.
منابع مشابه
Implications of Analyticity to Solution of Schwinger-Dyson Equations in Minkowski Space
We review some recent developments in nonperturbative studies of quantum field theory (QFT) using the Schwinger-Dyson equations formulated directly in Minkowski space. We begin with the introduction of essential ideas of the integral representation in QFT and a discussion of renormalization in this approach. The technique based on the integral representation of Green’s functions is exploited to...
متن کاملSymmetry Breaking: A New Paradigm for Non-Perturbative QFT and Topological Transitions
ii Preface Lately, after ∼ 50 years, there seems to be a convergence in the languages used to describe Quantum Field Theory and String Theory, such that it seems possible to relate objects from these two perspectives. Therefore, a deeper investigation of the properties and features of QFT is a reasonable thing to do: non-perturbative effects, dualities, emergent properties, non-commutative stru...
متن کاملAxiomatic, Parameterized, Off-Shell Quantum Field Theory
Axiomatic QFT attempts to provide a rigorous mathematical foundation for QFT, and it is the basis for proving some important general results, such as the well-known spin-statistics theorem. Free-field QFT meets the axioms of axiomatic QFT, showing they are consistent. Nevertheless, even after more than 50 years, there is still no known non-trivial theory of quantum fields with interactions in f...
متن کاملOn the Spectrum of Lattice Dirac Operators
Relativistic particle physics is described by relativistic quantum field theory; the theories explaining the fundamental interactions are gauge theories. QFT as it is formulated in terms of Lagrangians and functional integration has to be regularized. The only known regularization scheme that retains the gauge symmetry is replacement of the space-time continuum by a space-time lattice. For conv...
متن کامل0 50 51 31 v 2 7 J un 2 00 5 Production of scalar particles in expanding spacetime
In this paper, we investigate cosmological particle production using quantum field theory (QFT). We will consider how production of scalar particles can occur in an expanding universe. By introducing a time-dependent energy parameter representing the time evolution of the universe, the initial vacuum state will be excited. Consequently, creation of particles is present. Here, our focus is mainl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008