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FIESTA 4: optimized Feynman integral calculations with GPU support (1511.03614v1)

Published 23 Oct 2015 in hep-ph and cs.MS

Abstract: This paper presents a new major release of the program FIESTA (Feynman Integral Evaluation by a Sector decomposiTion Approach). The new release is mainly aimed at optimal performance at large scales when one is increasing the number of sampling points in order to reduce the uncertainty estimates. The release now supports graphical processor units (GPU) for the numerical integration, methods to optimize cluster-usage, as well as other speed, memory, and stability improvements.

Citations (245)

Summary

  • The paper introduces FIESTA 4, a major update that leverages GPU support and cluster parallelization to significantly speed up multiloop Feynman integral calculations.
  • It implements vectorized code with advanced contour deformation techniques, enhancing numerical stability and precision in handling complex integrals.
  • Benchmark tests demonstrate speed gains of up to 4x over previous versions, with scalability to 2048 cores using MPI for distributed computing.

Essay on FIESTA 4: Optimized Feynman Integral Calculations with GPU Support

The paper introduces a significant update to the FIESTA computational tool, now in its fourth release, and accomplishes an extensive overhaul of its functionalities aimed at optimizing the evaluation of Feynman integrals. The method behind FIESTA leverages sector decomposition approaches for computing multiloop Feynman integrals, crucial in theoretical particle physics for processes such as dimensional regularization and numerical integration.

Overview of FIESTA 4 Enhancements

Key updates focus on improved computational efficiency at expansive scales of problem-solving. This involves supporting graphical processor units (GPU) and optimizing usage across computing clusters. FIESTA 4, thus, represents a substantial advancement over prior versions via enhanced speed, memory usage, and stability.

The software now incorporates vectorized code capable of leveraging advanced vector extensions (AVX) available in modern processors. This allows for simultaneous operations on multiple data points, significantly reducing computational time. FIESTA also exploits massively parallel computation capabilities of GPUs, crucial for scenarios demanding high precision.

Furthermore, parallelization in FIESTA 4 extends through cluster utilization, with the implementation tested up to 2048 processing cores. This is crucial to handle the substantial computation loads that come with solving complex multidimensional integrals.

Numerical Efficiency and Implementation

In benchmarking tests, FIESTA 4 achieves a speed gain of two to four times over its predecessor, FIESTA 3.2. When GPUs are effectively utilized, additional speed enhancements of another two to four times can be observed, contingent on the problem's dimensionality and complexity.

The integration algorithms now accommodate complex contour deformation techniques, required when physical constraints impose singularities along real values of integration variables. The paper details how FIESTA manages these complex scenarios by adopting sector-specific decompositions and leveraging the computational power of modern parallel processing hardware.

Additionally, the update implements MPI (Message Passing Interface) capabilities. This enables distributed computation across nodes within a supercomputing environment, maximizing resource utilization and providing fault tolerance capabilities. This means that incomplete computations due to time limitations can be resumed without starting over.

Theoretical and Practical Implications

The theoretical implications of this work manifest mainly in the enablement of finely grained Feynman diagram evaluations, which are pivotal for high-precision theoretical physics calculations. The practical implications are vast, as particle physicists can now handle larger data sets and models with increased complexity with better efficiency and in reduced time.

The FIESTA 4 update, particularly with its GPU support, lays groundwork for tackling next-generation computational physics challenges, allowing researchers to probe deeper into the quantum field calculations that underlie particle interactions and fundamental physics.

Future Perspectives and Directions

Future developments will likely focus on further enhancing computational speed and accuracy, incorporating more sophisticated methods for handling singularities and expanding the range of supported hardware architectures. Additionally, stronger integration with symbolic computation platforms could streamline workflows between numerical and analytic calculations.

In summary, the FIESTA 4 update marks a significant step forward for computational particle physics, providing a robust toolset for tackling complex multiloop integrals. As the forefront of theoretical research continues to demand increased computational capabilities, tools like FIESTA with its advanced performance enhancements will play an increasingly central role in scientific discovery.