Path integrals for the relativistic particle: Some conceptual and pedagogical comments

T. Padmanabhan

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Path integrals for the relativistic particle: Some conceptual and pedagogical comments

T. Padmanabhan

High Energy Physics - Theory · Submitted 15 Jan 2019

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This note clarifies several conceptual and pedagogical issues related to this approach and highlights some interesting open questions which this result leads to.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,982 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.23 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.27 · mentions code or data availability 0.02.

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In my textbook on Quantum Field Theory \cite{tpqft} and in a recent paper \cite{tpejc2018}, I advocated a lattice regularization procedure for defining the path integral for the relativistic particle, using the non-quadratic action containing a square root. I also provided an interpretation of this result in terms of the Jacobi action principle. This note clarifies several conceptual and pedagogical issues related to this approach and highlights some interesting open questions which this result leads to.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In my textbook on Quantum Field Theory \cite{tpqft} and in a recent paper \cite{tpejc2018}, I advocated a lattice regularization procedure for defining the path integral for the relativistic particle, using the non-quadratic action containing a square root.	background 0.64	0.68	0.11	asserted 1.00
s1	I also provided an interpretation of this result in terms of the Jacobi action principle.	interpretation 0.93	0.79	0.09	asserted 1.00
s2	This note clarifies several conceptual and pedagogical issues related to this approach and highlights some interesting open questions which this result leads to.	contribution 0.97	0.69	0.29	asserted 0.99

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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Original abstract

In my textbook on Quantum Field Theory \cite{tpqft} and in a recent paper \cite{tpejc2018}, I advocated a lattice regularization procedure for defining the path integral for the relativistic particle, using the non-quadratic action containing a square root. I also provided an interpretation of this result in terms of the Jacobi action principle. This note clarifies several conceptual and pedagogical issues related to this approach and highlights some interesting open questions which this result leads to.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Cites as support 1 paper

As demonstrated in Ref. [ref] (as well as in the the earlier works [ref] ), this procedure indeed leads to the correct Euclidean propagator.

Obtaining the Non-relativistic Quantum Mechanics from Quantum Field Theory: Issues, Folklores and Facts · Path integrals for a relativistic particle · 0.96

Cites as background 1 paper

In this note, I discuss several conceptual and pedagogical aspects of this problem using the Ref. [ref] as the backdrop.[Since many of the mathematical and algebraic details are already covered in [ref] , I will not repeat them in this note and instead concentrate on conceptual inter-relationships.

Obtaining the Non-relativistic Quantum Mechanics from Quantum Field Theory: Issues, Folklores and Facts · Introduction · 0.99

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