Derives Schwinger-Dyson equations and Ward identities in NN-FT to study anomalies in QFTs via a conserved parameter-space current, yielding a new perspective on symmetries.
Quantum Mechanics and Neural Networks,
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Neural network field theory extended with discrete topological labels recovers the BKT transition and bosonic string T-duality.
α=0 architecture in NNFT minimizes finite-width variance, removes IR corrections, and sets a fundamental SNR bound for correlation functions in scalar field theory.
The work tests perturbative viability of single-layer neural networks for local QFTs at finite neuron number N in phi^4 theory, finding UV-cutoff-sensitive O(1/N) corrections with weak convergence and proposing a modification for better scaling.
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Anomalies in Neural Network Field Theory
Derives Schwinger-Dyson equations and Ward identities in NN-FT to study anomalies in QFTs via a conserved parameter-space current, yielding a new perspective on symmetries.
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Topological Effects in Neural Network Field Theory
Neural network field theory extended with discrete topological labels recovers the BKT transition and bosonic string T-duality.
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Optimal Architecture and Fundamental Bounds in Neural Network Field Theory
α=0 architecture in NNFT minimizes finite-width variance, removes IR corrections, and sets a fundamental SNR bound for correlation functions in scalar field theory.
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Viability of perturbative expansion for quantum field theories on neurons
The work tests perturbative viability of single-layer neural networks for local QFTs at finite neuron number N in phi^4 theory, finding UV-cutoff-sensitive O(1/N) corrections with weak convergence and proposing a modification for better scaling.