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Scalar Quantum Field Theory on Fractals
, 2013
"... We construct a family of measures for random fields based on the iterated subdivision of simple geometric shapes (triangles, squares, tetrahedrons) into a finite number of similar shapes. The intent is to construct continuum limits of scale invariant scalar field theories, by imitating Wiener’s c ..."
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We construct a family of measures for random fields based on the iterated subdivision of simple geometric shapes (triangles, squares, tetrahedrons) into a finite number of similar shapes. The intent is to construct continuum limits of scale invariant scalar field theories, by imitating Wiener’s
Computer stochastics in scalar quantum field theory
 in proceedings of NATO Advanced Study Institute on Stochastic Analysis and Applications in Physics
, 1993
"... Abstract. This is a series of lectures on Monte Carlo results on the nonperturbative, lattice formulation approach to quantum field theory. Emphasis is put on 4D scalar quantum field theory. I discuss real space renormalization group, fixed point properties and logarithmic corrections, partition fu ..."
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Cited by 8 (0 self)
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Abstract. This is a series of lectures on Monte Carlo results on the nonperturbative, lattice formulation approach to quantum field theory. Emphasis is put on 4D scalar quantum field theory. I discuss real space renormalization group, fixed point properties and logarithmic corrections, partition
NonRiemannian metric emergent from scalar quantum field theory
, 2014
"... We show that the twopoint function σ(x, x′) = √〈[φ(x) − φ(x′)]2 〉 of a scalar quantum field theory is a metric (i.e., a symmetric positive function satisfying the triangle inequality) on spacetime (with imaginary time). It is very different from the Euclidean metric x−x′  at large distances, yet ..."
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We show that the twopoint function σ(x, x′) = √〈[φ(x) − φ(x′)]2 〉 of a scalar quantum field theory is a metric (i.e., a symmetric positive function satisfying the triangle inequality) on spacetime (with imaginary time). It is very different from the Euclidean metric x−x′  at large distances
c © Rinton Press QUANTUM COMPUTATION OF SCATTERING IN SCALAR QUANTUM FIELD THEORIES
, 2012
"... Quantum field theory provides the framework for the most fundamental physical theories to be confirmed experimentally and has enabled predictions of unprecedented precision. However, calculations of physical observables often require great computational complexity and can generally be performed onl ..."
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Quantum field theory provides the framework for the most fundamental physical theories to be confirmed experimentally and has enabled predictions of unprecedented precision. However, calculations of physical observables often require great computational complexity and can generally be performed
Technical remarks and comments on the UV/IRmixing problem of a noncommutative scalar quantum field theory
"... MaxPlanckInstitute for Mathematics in the Sciences ..."
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Cited by 3 (1 self)
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MaxPlanckInstitute for Mathematics in the Sciences
Submitted to Physical Review D.
, 2008
"... Random walks and the correlation length critical exponent in scalar quantum field theory ∗ ..."
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Random walks and the correlation length critical exponent in scalar quantum field theory ∗
Quantum Gravity
, 2004
"... We describe the basic assumptions and key results of loop quantum gravity, which is a background independent approach to quantum gravity. The emphasis is on the basic physical principles and how one deduces predictions from them, at a level suitable for physicists in other areas such as string theor ..."
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Cited by 566 (11 self)
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integral quantizations, coupling to matter, extensions to supergravity and higher dimensional theories, as well as applications to black holes, cosmology and Plank scale phenomenology. We describe the near term prospects for observational tests of quantum theories of gravity and the expectations that loop
Axiomatic quantum field theory in curved spacetime
, 2008
"... The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary globa ..."
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Cited by 692 (18 self)
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The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary
Results 1  10
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403,870