Continuum limit of the Green function in scaled affine $\varphi^4_4$ quantum Euclidean covariant relativistic field theory

• URL: http://arxiv.org/abs/2402.10903v2
• Date: Thu, 11 Apr 2024 16:07:38 GMT
• Title: Continuum limit of the Green function in scaled affine $\varphi^4_4$ quantum Euclidean covariant relativistic field theory
• Authors: Riccardo Fantoni,
• Abstract summary: We prove through path integral Monte Carlo computer experiments that the affine quantization of the $varphi_44$ scaled Euclidean covariant relativistic scalar field theory is a valid quantum field theory.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We prove through path integral Monte Carlo computer experiments that the affine quantization of the $\varphi_4^4$ scaled Euclidean covariant relativistic scalar field theory is a valid quantum field theory with a well defined continuum limit of the one- and two-point-function. Affine quantization leads to a completely satisfactory quantization of field theories using situations that involve scaled behavior leading to an unexpected, $\hbar^2/\varphi^2$ which arises only in the quantum aspects.

Related papers

• Non-Heisenbergian quantum mechanics [0.0]
  Relaxing the postulates of an axiomatic theory is a natural way to find more general theories. Here, we use this way to extend quantum mechanics by ignoring the heart of Heisenberg's quantum mechanics. Perhaps surprisingly, this non-Heisenberg quantum theory, without a priori assumption of the non-commutation relation, leads to a modified Heisenberg uncertainty relation.
  arXiv  Detail & Related papers  (2024-02-17T18:00:07Z)
• Entropic Quantum Central Limit Theorem and Quantum Inverse Sumset Theorem [0.0]
  We establish an entropic, quantum central limit theorem and quantum inverse sumset theorem in discrete-variable quantum systems. A byproduct of this work is a magic measure to quantify the nonstabilizer nature of a state, based on the quantum Ruzsa divergence.
  arXiv  Detail & Related papers  (2024-01-25T18:43:24Z)
• Observing super-quantum correlations across the exceptional point in a single, two-level trapped ion [48.7576911714538]
  In two-level quantum systems - qubits - unitary dynamics theoretically limit these quantum correlations to $2qrt2$ or 1.5 respectively. Here, using a dissipative, trapped $40$Ca$+$ ion governed by a two-level, non-Hermitian Hamiltonian, we observe correlation values up to 1.703(4) for the Leggett-Garg parameter $K_3$. These excesses occur across the exceptional point of the parity-time symmetric Hamiltonian responsible for the qubit's non-unitary, coherent dynamics.
  arXiv  Detail & Related papers  (2023-04-24T19:44:41Z)
• Scaled Affine Quantization of $\varphi^4_4$ in the Low Temperature Limit [0.0]
  We prove through Monte Carlo analysis that the covariant euclidean scalar field theory, $varphir_n$, is nontrivial and renormalizable even at low temperatures in the highly quantum regime.
  arXiv  Detail & Related papers  (2022-01-28T02:24:02Z)
• Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance [117.44028458220427]
  We analyze the behavior of both genuine multipartite entanglement and quantum coherence under Lorentz boosts. A given combination of these quantum resources is shown to form a Lorentz invariant.
  arXiv  Detail & Related papers  (2021-11-26T17:22:59Z)
• Stochastic approximate state conversion for entanglement and general quantum resource theories [41.94295877935867]
  An important problem in any quantum resource theory is to determine how quantum states can be converted into each other. Very few results have been presented on the intermediate regime between probabilistic and approximate transformations. We show that these bounds imply an upper bound on the rates for various classes of states under probabilistic transformations. We also show that the deterministic version of the single copy bounds can be applied for drawing limitations on the manipulation of quantum channels.
  arXiv  Detail & Related papers  (2021-11-24T17:29:43Z)
• Towards the continuum limit of a $(1+1)$d quantum link Schwinger model [0.0]
  We show the continuum limit for gauge theories regularized via finite-dimensional Hilbert spaces of quantum spin-$S$ operators. Our findings indicate that quantum devices will in the foreseeable future be able to quantitatively probe the QED regime with quantum link models.
  arXiv  Detail & Related papers  (2021-03-31T18:00:13Z)
• $\PT$ Symmetry and Renormalisation in Quantum Field Theory [62.997667081978825]
  Quantum systems governed by non-Hermitian Hamiltonians with $PT$ symmetry are special in having real energy eigenvalues bounded below and unitary time evolution. We show how $PT$ symmetry may allow interpretations that evade ghosts and instabilities present in an interpretation of the theory within a Hermitian framework.
  arXiv  Detail & Related papers  (2021-03-27T09:46:36Z)
• Experimental Validation of Fully Quantum Fluctuation Theorems Using Dynamic Bayesian Networks [48.7576911714538]
  Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small systems. We experimentally verify detailed and integral fully quantum fluctuation theorems for heat exchange using two quantum-correlated thermal spins-1/2 in a nuclear magnetic resonance setup.
  arXiv  Detail & Related papers  (2020-12-11T12:55:17Z)
• Quantum fluctuations of the compact phase space cosmology [0.0]
  This article applies effective methods to extract semi-classical regime of quantum dynamics. We find a nontrivial behavior of the fluctuations around the recollapse of the universe. An unexpected relation between the quantum fluctuations of the cosmological sector and the holographic Bousso bound is shown.
  arXiv  Detail & Related papers  (2020-03-18T10:08:11Z)
• Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
  We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
  arXiv  Detail & Related papers  (2020-02-05T00:45:21Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.